{"id":25,"date":"2023-11-01T03:07:54","date_gmt":"2023-11-01T03:07:54","guid":{"rendered":"https:\/\/jingyiliu.net\/?page_id=25"},"modified":"2026-06-07T14:50:56","modified_gmt":"2026-06-07T14:50:56","slug":"elementor-25","status":"publish","type":"page","link":"https:\/\/jingyiliu.net\/","title":{"rendered":"Jingyi Liu"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"25\" class=\"elementor elementor-25\">\n\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f9a76c7 e-flex e-con-boxed e-con e-parent\" data-id=\"f9a76c7\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-1af7e5d elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"1af7e5d\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.17.0 - 25-10-2023 *\/\n.elementor-widget-divider{--divider-border-style:none;--divider-border-width:1px;--divider-color:#0c0d0e;--divider-icon-size:20px;--divider-element-spacing:10px;--divider-pattern-height:24px;--divider-pattern-size:20px;--divider-pattern-url:none;--divider-pattern-repeat:repeat-x}.elementor-widget-divider .elementor-divider{display:flex}.elementor-widget-divider .elementor-divider__text{font-size:15px;line-height:1;max-width:95%}.elementor-widget-divider .elementor-divider__element{margin:0 var(--divider-element-spacing);flex-shrink:0}.elementor-widget-divider .elementor-icon{font-size:var(--divider-icon-size)}.elementor-widget-divider .elementor-divider-separator{display:flex;margin:0;direction:ltr}.elementor-widget-divider--view-line_icon .elementor-divider-separator,.elementor-widget-divider--view-line_text .elementor-divider-separator{align-items:center}.elementor-widget-divider--view-line_icon .elementor-divider-separator:after,.elementor-widget-divider--view-line_icon .elementor-divider-separator:before,.elementor-widget-divider--view-line_text .elementor-divider-separator:after,.elementor-widget-divider--view-line_text .elementor-divider-separator:before{display:block;content:\"\";border-bottom:0;flex-grow:1;border-top:var(--divider-border-width) var(--divider-border-style) var(--divider-color)}.elementor-widget-divider--element-align-left .elementor-divider .elementor-divider-separator>.elementor-divider__svg:first-of-type{flex-grow:0;flex-shrink:100}.elementor-widget-divider--element-align-left .elementor-divider-separator:before{content:none}.elementor-widget-divider--element-align-left .elementor-divider__element{margin-left:0}.elementor-widget-divider--element-align-right .elementor-divider .elementor-divider-separator>.elementor-divider__svg:last-of-type{flex-grow:0;flex-shrink:100}.elementor-widget-divider--element-align-right .elementor-divider-separator:after{content:none}.elementor-widget-divider--element-align-right .elementor-divider__element{margin-right:0}.elementor-widget-divider:not(.elementor-widget-divider--view-line_text):not(.elementor-widget-divider--view-line_icon) .elementor-divider-separator{border-top:var(--divider-border-width) var(--divider-border-style) var(--divider-color)}.elementor-widget-divider--separator-type-pattern{--divider-border-style:none}.elementor-widget-divider--separator-type-pattern.elementor-widget-divider--view-line .elementor-divider-separator,.elementor-widget-divider--separator-type-pattern:not(.elementor-widget-divider--view-line) .elementor-divider-separator:after,.elementor-widget-divider--separator-type-pattern:not(.elementor-widget-divider--view-line) .elementor-divider-separator:before,.elementor-widget-divider--separator-type-pattern:not([class*=elementor-widget-divider--view]) .elementor-divider-separator{width:100%;min-height:var(--divider-pattern-height);-webkit-mask-size:var(--divider-pattern-size) 100%;mask-size:var(--divider-pattern-size) 100%;-webkit-mask-repeat:var(--divider-pattern-repeat);mask-repeat:var(--divider-pattern-repeat);background-color:var(--divider-color);-webkit-mask-image:var(--divider-pattern-url);mask-image:var(--divider-pattern-url)}.elementor-widget-divider--no-spacing{--divider-pattern-size:auto}.elementor-widget-divider--bg-round{--divider-pattern-repeat:round}.rtl .elementor-widget-divider .elementor-divider__text{direction:rtl}.e-con-inner>.elementor-widget-divider,.e-con>.elementor-widget-divider{width:var(--container-widget-width,100%);--flex-grow:var(--container-widget-flex-grow)}<\/style>\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-84f0bdb elementor-position-right elementor-vertical-align-top elementor-widget elementor-widget-image-box\" data-id=\"84f0bdb\" data-element_type=\"widget\" data-widget_type=\"image-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.17.0 - 25-10-2023 *\/\n.elementor-widget-image-box .elementor-image-box-content{width:100%}@media (min-width:768px){.elementor-widget-image-box.elementor-position-left .elementor-image-box-wrapper,.elementor-widget-image-box.elementor-position-right .elementor-image-box-wrapper{display:flex}.elementor-widget-image-box.elementor-position-right .elementor-image-box-wrapper{text-align:right;flex-direction:row-reverse}.elementor-widget-image-box.elementor-position-left .elementor-image-box-wrapper{text-align:left;flex-direction:row}.elementor-widget-image-box.elementor-position-top .elementor-image-box-img{margin:auto}.elementor-widget-image-box.elementor-vertical-align-top .elementor-image-box-wrapper{align-items:flex-start}.elementor-widget-image-box.elementor-vertical-align-middle .elementor-image-box-wrapper{align-items:center}.elementor-widget-image-box.elementor-vertical-align-bottom .elementor-image-box-wrapper{align-items:flex-end}}@media (max-width:767px){.elementor-widget-image-box .elementor-image-box-img{margin-left:auto!important;margin-right:auto!important;margin-bottom:15px}}.elementor-widget-image-box .elementor-image-box-img{display:inline-block}.elementor-widget-image-box .elementor-image-box-title a{color:inherit}.elementor-widget-image-box .elementor-image-box-wrapper{text-align:center}.elementor-widget-image-box .elementor-image-box-description{margin:0}<\/style><div class=\"elementor-image-box-wrapper\"><figure class=\"elementor-image-box-img\"><img decoding=\"async\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2023\/11\/heat.jpg\" title=\"heat\" alt=\"heat\" loading=\"lazy\" \/><\/figure><div class=\"elementor-image-box-content\"><p class=\"elementor-image-box-description\">I am currently a Theory Fellow at Janelia Research Campus, HHMI. I am interested in physics-aware machine learning architecture design for scientific discovery. My Ph.D. focuses on fluid dynamics, with interdisciplinary in biophysics. I researched fluid dynamics and nutrient transport in microscopic living systems, involving using numerical and analytical methods to solve and analyze PDEs, solving PDE-constraint optimization (inverse) problems, and analyze synchronization emergent from Kuramoto-like oscillators. <br><br>I did my Ph.D. in Mechanical Engineering at University of Southern California, advised by Professor Eva Kanso. I hold M.S. in both Mechanical Engineering and Applied Physics in Electrical Engineering, with specialty areas in Electromagnetic Wave Propagation and Scattering, and Mechanics of Fluid and Solid Media.<\/p><\/div><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-3b4ccc8 e-flex e-con-boxed e-con e-parent\" data-id=\"3b4ccc8\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-a612cf5 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"a612cf5\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-8180f66 e-flex e-con-boxed e-con e-parent\" data-id=\"8180f66\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d4bd5ed elementor-widget elementor-widget-text-editor\" data-id=\"d4bd5ed\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.17.0 - 25-10-2023 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<h3>Modeling: Emergent Surface Activity Synchronization and Coherent Fluid Flow in Spherical Cavity<\/h3>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-6f90659 e-flex e-con-boxed e-con e-parent\" data-id=\"6f90659\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-f03800c e-con-full e-flex e-con e-child\" data-id=\"f03800c\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0c982d9 elementor-widget elementor-widget-video\" data-id=\"0c982d9\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.17.0 - 25-10-2023 *\/\n.elementor-widget-video .elementor-widget-container{overflow:hidden;transform:translateZ(0)}.elementor-widget-video .elementor-wrapper{aspect-ratio:var(--video-aspect-ratio)}.elementor-widget-video .elementor-wrapper iframe,.elementor-widget-video .elementor-wrapper video{height:100%;width:100%;display:flex;border:none;background-color:#000}@supports not (aspect-ratio:1\/1){.elementor-widget-video .elementor-wrapper{position:relative;overflow:hidden;height:0;padding-bottom:calc(100% \/ var(--video-aspect-ratio))}.elementor-widget-video .elementor-wrapper iframe,.elementor-widget-video .elementor-wrapper video{position:absolute;top:0;right:0;bottom:0;left:0}}.elementor-widget-video .elementor-open-inline .elementor-custom-embed-image-overlay{position:absolute;top:0;right:0;bottom:0;left:0;background-size:cover;background-position:50%}.elementor-widget-video .elementor-custom-embed-image-overlay{cursor:pointer;text-align:center}.elementor-widget-video .elementor-custom-embed-image-overlay:hover .elementor-custom-embed-play i{opacity:1}.elementor-widget-video .elementor-custom-embed-image-overlay img{display:block;width:100%;aspect-ratio:var(--video-aspect-ratio);-o-object-fit:cover;object-fit:cover;-o-object-position:center center;object-position:center center}@supports not (aspect-ratio:1\/1){.elementor-widget-video .elementor-custom-embed-image-overlay{position:relative;overflow:hidden;height:0;padding-bottom:calc(100% \/ var(--video-aspect-ratio))}.elementor-widget-video .elementor-custom-embed-image-overlay img{position:absolute;top:0;right:0;bottom:0;left:0}}.elementor-widget-video .e-hosted-video .elementor-video{-o-object-fit:cover;object-fit:cover}.e-con-inner>.elementor-widget-video,.e-con>.elementor-widget-video{width:var(--container-widget-width);--flex-grow:var(--container-widget-flex-grow)}<\/style>\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2026\/06\/alphasmooth_rotor1000_e00_rand1_last10T.mp4\" autoplay=\"\" controls=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ce48db elementor-widget elementor-widget-video\" data-id=\"8ce48db\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2026\/06\/alphasmooth_rotor1000_e10_rand1_last10T.mp4\" autoplay=\"\" controls=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-74e07d9 e-con-full e-flex e-con e-child\" data-id=\"74e07d9\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d84b35d elementor-widget elementor-widget-image\" data-id=\"d84b35d\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.17.0 - 25-10-2023 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"252\" height=\"253\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2026\/06\/rotor1000F1_e00_rand6_stream_z0_lastT10ave.png\" class=\"attachment-large size-large wp-image-655\" alt=\"\" srcset=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2026\/06\/rotor1000F1_e00_rand6_stream_z0_lastT10ave.png 252w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2026\/06\/rotor1000F1_e00_rand6_stream_z0_lastT10ave-150x150.png 150w\" sizes=\"(max-width: 252px) 85vw, 252px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ac5b3c8 elementor-widget elementor-widget-image\" data-id=\"ac5b3c8\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"252\" height=\"252\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2026\/06\/rotor1000F1_e10_rand1_stream_z0_lastT10ave.png\" class=\"attachment-large size-large wp-image-656\" alt=\"\" srcset=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2026\/06\/rotor1000F1_e10_rand1_stream_z0_lastT10ave.png 252w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2026\/06\/rotor1000F1_e10_rand1_stream_z0_lastT10ave-150x150.png 150w\" sizes=\"(max-width: 252px) 85vw, 252px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-9332716 e-con-full e-flex e-con e-child\" data-id=\"9332716\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-32a5188 elementor-widget elementor-widget-text-editor\" data-id=\"32a5188\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>During embryonic development, surface-bound intracellular activity generates coherent, cell-wide cytoplasmic flows. We built a minimal mathematical model in which surface activity is represented by hydrodynamically coupled rotors lining a spherical cavity. Within this model, surface activity self-organizes into coherent, spiraling wave patterns that generate robust, cell-wide flows in the enclosed cavity. \u00a0<\/p><p><span style=\"font-size: 1rem;\">These results reveal a robust\u00a0<\/span><span style=\"font-size: 1rem;\">hydrodynamic mechanism by which local surface activity can generate coherent, cell-scale flows,\u00a0<\/span><span style=\"font-size: 1rem;\">independent of microscopic details of the underlying activity.<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-906fe07 e-flex e-con-boxed e-con e-parent\" data-id=\"906fe07\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2975923 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"2975923\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-93bdf40 e-flex e-con-boxed e-con e-parent\" data-id=\"93bdf40\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f05f6d2 elementor-widget elementor-widget-heading\" data-id=\"f05f6d2\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.17.0 - 25-10-2023 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-medium\"><a href=\"https:\/\/jingyiliu.net\/index.php\/ciliated-microorganism-modeling\/\"><span class=\"elementor-heading-title elementor-size-medium elementor-inline-editing pen\" data-elementor-setting-key=\"title\" data-pen-placeholder=\"Type Here...\" style=\"clear: both; text-rendering: optimizelegibility; outline-color: currentcolor; outline-style: none;\">Modeling<\/span>: <span class=\"elementor-heading-title elementor-size-medium elementor-inline-editing pen\" data-elementor-setting-key=\"title\" data-pen-placeholder=\"Type Here...\" style=\"clear: both; text-rendering: optimizelegibility; outline-color: currentcolor; outline-style: none;\">Flow Physics in living system<\/span><\/a><\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-c820a32 e-flex e-con-boxed e-con e-parent\" data-id=\"c820a32\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-66aae9f elementor-widget__width-initial elementor-widget elementor-widget-image\" data-id=\"66aae9f\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"840\" height=\"407\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2023\/11\/pic1-1-1024x496.png\" class=\"attachment-large size-large wp-image-75\" alt=\"\" srcset=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2023\/11\/pic1-1-1024x496.png 1024w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2023\/11\/pic1-1-300x145.png 300w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2023\/11\/pic1-1-768x372.png 768w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2023\/11\/pic1-1-1536x743.png 1536w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2023\/11\/pic1-1-1200x581.png 1200w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2023\/11\/pic1-1.png 1746w\" sizes=\"(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-f15fd54 e-con-full e-flex e-con e-child\" data-id=\"f15fd54\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e4aa766 elementor-widget elementor-widget-text-editor\" data-id=\"e4aa766\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Takeaways on impact of flow physics<\/strong><\/p><ul><li><span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; text-align: var(--text-align); font-size: 1rem;\">Flow physics plays an important role in morphological evolution of unicellular ciliated eukaryotes.<\/span><\/li><li>Adaptive feeding strategies in ciliated microorganisms: optimal cilia motion depends on P\u00e9clet number.<\/li><\/ul><p><a href=\"https:\/\/jingyiliu.net\/index.php\/ciliated-microorganism-modeling\/\">Read More<\/a><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-f95636b e-flex e-con-boxed e-con e-parent\" data-id=\"f95636b\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-bb64215 elementor-widget elementor-widget-text-editor\" data-id=\"bb64215\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Adaptive Motion Strategy: \u00a0<\/strong>Swimming ciliate chases and absorbs a food blob: \u00a01. Always swim. 2. Swim, then stay.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-d21ab44 e-flex e-con-boxed e-con e-parent\" data-id=\"d21ab44\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-ffac790 e-con-full e-flex e-con e-child\" data-id=\"ffac790\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e8eff26 elementor-widget elementor-widget-video\" data-id=\"e8eff26\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;play_on_mobile&quot;:&quot;yes&quot;,&quot;mute&quot;:&quot;yes&quot;,&quot;loop&quot;:&quot;yes&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/10\/visual_mot_blob1.mp4\" autoplay=\"\" loop=\"\" controls=\"\" muted=\"muted\" playsinline=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-4f4694f e-con-full e-flex e-con e-child\" data-id=\"4f4694f\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-18b7d70 elementor-widget elementor-widget-video\" data-id=\"18b7d70\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;play_on_mobile&quot;:&quot;yes&quot;,&quot;mute&quot;:&quot;yes&quot;,&quot;loop&quot;:&quot;yes&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/10\/visual_mot_blob1_n12.mp4\" autoplay=\"\" loop=\"\" controls=\"\" muted=\"muted\" playsinline=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-b13825f e-con-full e-flex e-con e-child\" data-id=\"b13825f\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-8fa5374 e-flex e-con-boxed e-con e-parent\" data-id=\"8fa5374\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-3bcc586 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"3bcc586\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-fbfaf40 e-flex e-con-boxed e-con e-parent\" data-id=\"fbfaf40\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-279efd6 e-flex e-con-boxed e-con e-child\" data-id=\"279efd6\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d4d96fa elementor-widget elementor-widget-heading\" data-id=\"d4d96fa\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\"><span class=\"elementor-heading-title elementor-size-medium elementor-inline-editing pen\" data-elementor-setting-key=\"title\" data-pen-placeholder=\"Type Here...\" style=\"clear: both; text-rendering: optimizelegibility; outline-color: currentcolor; outline-style: none;\">Modeling<\/span>: <span class=\"elementor-heading-title elementor-size-medium elementor-inline-editing pen\" data-elementor-setting-key=\"title\" data-pen-placeholder=\"Type Here...\" style=\"clear: both; text-rendering: optimizelegibility; outline-color: currentcolor; outline-style: none;\">Collective motion in living system<\/span><\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-81153b0 e-flex e-con-boxed e-con e-parent\" data-id=\"81153b0\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-76acbb9 e-con-full e-flex e-con e-child\" data-id=\"76acbb9\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d57a8d0 elementor-widget elementor-widget-text-editor\" data-id=\"d57a8d0\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Vicsek model: dynamics in 2D, periodic boundary conditions.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7482d6e e-con-full e-flex e-con e-child\" data-id=\"7482d6e\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-05f8d89 elementor-widget elementor-widget-text-editor\" data-id=\"05f8d89\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>3-zone model: dynamics in 3D, centered obstacle<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-e772973 e-flex e-con-boxed e-con e-parent\" data-id=\"e772973\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-1990b6f e-con-full e-flex e-con e-child\" data-id=\"1990b6f\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5c3cf4a elementor-widget elementor-widget-video\" data-id=\"5c3cf4a\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;play_on_mobile&quot;:&quot;yes&quot;,&quot;mute&quot;:&quot;yes&quot;,&quot;loop&quot;:&quot;yes&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/12\/lollipops_simulation.mp4\" autoplay=\"\" loop=\"\" controls=\"\" muted=\"muted\" playsinline=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-e796cde e-con-full e-flex e-con e-child\" data-id=\"e796cde\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-308db81 elementor-widget elementor-widget-video\" data-id=\"308db81\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;play_on_mobile&quot;:&quot;yes&quot;,&quot;mute&quot;:&quot;yes&quot;,&quot;loop&quot;:&quot;yes&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/12\/test.mp4\" autoplay=\"\" loop=\"\" controls=\"\" muted=\"muted\" playsinline=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-694c5ed e-flex e-con-boxed e-con e-parent\" data-id=\"694c5ed\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5df39e7 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"5df39e7\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-6871bc4 e-con-full e-flex e-con e-parent\" data-id=\"6871bc4\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\" data-core-v316-plus=\"true\">\n\t\t<div class=\"elementor-element elementor-element-c1e5857 e-con-full e-flex e-con e-child\" data-id=\"c1e5857\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c9ede74 elementor-widget elementor-widget-video\" data-id=\"c9ede74\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;play_on_mobile&quot;:&quot;yes&quot;,&quot;mute&quot;:&quot;yes&quot;,&quot;loop&quot;:&quot;yes&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/10\/test006.mp4\" autoplay=\"\" loop=\"\" controls=\"\" muted=\"muted\" playsinline=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-8f4c6dd e-con-full e-flex e-con e-child\" data-id=\"8f4c6dd\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9547c6d elementor-widget elementor-widget-heading\" data-id=\"9547c6d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">Defensive wave of Honeybees<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ee58a0 elementor-widget elementor-widget-video\" data-id=\"8ee58a0\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;play_on_mobile&quot;:&quot;yes&quot;,&quot;mute&quot;:&quot;yes&quot;,&quot;loop&quot;:&quot;yes&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/10\/wave.mov\" autoplay=\"\" loop=\"\" controls=\"\" muted=\"muted\" playsinline=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-622c299 elementor-widget elementor-widget-heading\" data-id=\"622c299\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-small\"><a href=\"https:\/\/www.youtube.com\/watch?v=8bNKU8GRYmU\">https:\/\/www.youtube.com\/watch?v=8bNKU8GRYmU<\/a><\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-e146f49 e-flex e-con-boxed e-con e-parent\" data-id=\"e146f49\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-533bb48 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"533bb48\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-3da6d4f e-flex e-con-boxed e-con e-parent\" data-id=\"3da6d4f\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7f45264 elementor-widget elementor-widget-heading\" data-id=\"7f45264\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">Notes & Lectures<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-3a194cc e-flex e-con-boxed e-con e-parent\" data-id=\"3a194cc\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-e554b76 e-con-full e-flex e-con e-child\" data-id=\"e554b76\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-cb720c2 elementor-widget elementor-widget-text-editor\" data-id=\"cb720c2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><a href=\"https:\/\/jingyiliu.net\/index.php\/pde-constraint-optimization\/\">Inverse problem<\/a><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-479c932 e-con-full e-flex e-con e-child\" data-id=\"479c932\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ddad64a elementor-widget elementor-widget-text-editor\" data-id=\"ddad64a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>First passage problem<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-59e59b4 e-con-full e-flex e-con e-child\" data-id=\"59e59b4\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5bde3c4 elementor-widget elementor-widget-text-editor\" data-id=\"5bde3c4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><a href=\"https:\/\/jingyiliu.net\/index.php\/lecture-on-pattern-formation\/\">Pattern formation<\/a><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-036b048 e-flex e-con-boxed e-con e-parent\" data-id=\"036b048\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-b812342 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"b812342\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-172c3c7 e-flex e-con-boxed e-con e-parent\" data-id=\"172c3c7\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-bc3ba00 e-con-full e-flex e-con e-child\" data-id=\"bc3ba00\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0f1b1eb elementor-widget elementor-widget-heading\" data-id=\"0f1b1eb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">DIY Labs: Aerodynamics performance testing<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-fcdbbcf e-con-full e-flex e-con e-child\" data-id=\"fcdbbcf\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-42909b1 e-con-full e-flex e-con e-child\" data-id=\"42909b1\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t<div class=\"elementor-element elementor-element-3230a4e e-con-full e-flex e-con e-child\" data-id=\"3230a4e\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-178d7bc elementor-widget elementor-widget-image\" data-id=\"178d7bc\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"840\" height=\"473\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/02\/PIVlab_frame90-1024x576.jpg\" class=\"attachment-large size-large wp-image-183\" alt=\"\" srcset=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/02\/PIVlab_frame90-1024x576.jpg 1024w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/02\/PIVlab_frame90-300x169.jpg 300w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/02\/PIVlab_frame90-768x432.jpg 768w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/02\/PIVlab_frame90-1536x863.jpg 1536w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/02\/PIVlab_frame90-2048x1151.jpg 2048w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2024\/02\/PIVlab_frame90-1200x674.jpg 1200w\" sizes=\"(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-bbfec8e e-con-full e-flex e-con e-child\" data-id=\"bbfec8e\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7570f02 elementor-widget elementor-widget-text-editor\" data-id=\"7570f02\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Home made wind tunnel: plastic showcase, black T-shirt, battery, computer fan, GoPro, humidifier, car models<\/p><p>Car models: Porsche 911 GT3 RS, Lamborghini Aventado ( scale 1:18).\u00a0<\/p><p>PIV analysis: Matlab<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-8fa0344 e-flex e-con-boxed e-con e-child\" data-id=\"8fa0344\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9d340f4 elementor-widget elementor-widget-text-editor\" data-id=\"9d340f4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Conclusion:<\/strong> At low speeds, the Aventador outperforms the 911 GT3 RS, making it a better choice for those navigating daily traffic congestion in downtown LA or New York City. However, further analysis is needed to assess fuel efficiency.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-647e0dd e-flex e-con-boxed e-con e-parent\" data-id=\"647e0dd\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f1db247 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"f1db247\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-4147f07 e-flex e-con-boxed e-con e-parent\" data-id=\"4147f07\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-d97dcce e-con-full e-flex e-con e-child\" data-id=\"d97dcce\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-07f1dd5 elementor-widget elementor-widget-text-editor\" data-id=\"07f1dd5\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-52d3b0b e-con-full e-flex e-con e-child\" data-id=\"52d3b0b\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-658daf0 elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"658daf0\" data-element_type=\"widget\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<a class=\"elementor-icon\" href=\"https:\/\/soundcloud.com\/user-642936111?utm_source=clipboard&#038;utm_medium=text&#038;utm_campaign=social_sharing\">\n\t\t\t<i aria-hidden=\"true\" class=\"fas fa-music\"><\/i>\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-4bed4fb e-con-full e-flex e-con e-child\" data-id=\"4bed4fb\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6db8548 elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"6db8548\" data-element_type=\"widget\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<a class=\"elementor-icon\" href=\"https:\/\/github.com\/JennyL07\">\n\t\t\t<i aria-hidden=\"true\" class=\"fab fa-github\"><\/i>\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-ab0de40 e-con-full e-flex e-con e-child\" data-id=\"ab0de40\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0e1b761 elementor-widget__width-initial elementor-widget elementor-widget-image\" data-id=\"0e1b761\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/scholar.google.com\/citations?user=dZQCYCwAAAAJ&#038;hl=en&#038;oi=ao\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"840\" height=\"840\" src=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2025\/02\/Google_Scholar_logo.svg-1024x1024.png\" class=\"attachment-large size-large wp-image-576\" alt=\"\" srcset=\"https:\/\/jingyiliu.net\/wp-content\/uploads\/2025\/02\/Google_Scholar_logo.svg-1024x1024.png 1024w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2025\/02\/Google_Scholar_logo.svg-300x300.png 300w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2025\/02\/Google_Scholar_logo.svg-150x150.png 150w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2025\/02\/Google_Scholar_logo.svg-768x768.png 768w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2025\/02\/Google_Scholar_logo.svg-1536x1536.png 1536w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2025\/02\/Google_Scholar_logo.svg-1200x1200.png 1200w, https:\/\/jingyiliu.net\/wp-content\/uploads\/2025\/02\/Google_Scholar_logo.svg.png 2048w\" sizes=\"(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-598842a e-con-full e-flex e-con e-child\" data-id=\"598842a\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0e15cc8 elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"0e15cc8\" data-element_type=\"widget\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<a class=\"elementor-icon\" href=\"https:\/\/www.linkedin.com\/in\/jingyi-liu-887433216\">\n\t\t\t<i aria-hidden=\"true\" class=\"fab fa-linkedin\"><\/i>\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-fb0b850 e-con-full e-flex e-con e-child\" data-id=\"fb0b850\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6b507f4 elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"6b507f4\" data-element_type=\"widget\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<a class=\"elementor-icon\" href=\"mailto:jingyiliu1900@gmail.com\">\n\t\t\t<i aria-hidden=\"true\" class=\"far fa-envelope\"><\/i>\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>I am currently a Theory Fellow at Janelia Research Campus, HHMI. I am interested in physics-aware machine learning architecture design for scientific discovery. My Ph.D. focuses on fluid dynamics, with interdisciplinary in biophysics. I researched fluid dynamics and nutrient transport in microscopic living systems, involving using numerical and analytical methods to solve and analyze PDEs, &hellip; <a href=\"https:\/\/jingyiliu.net\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Jingyi Liu&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"_themeisle_gutenberg_block_has_review":false,"footnotes":""},"_links":{"self":[{"href":"https:\/\/jingyiliu.net\/index.php\/wp-json\/wp\/v2\/pages\/25"}],"collection":[{"href":"https:\/\/jingyiliu.net\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/jingyiliu.net\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/jingyiliu.net\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jingyiliu.net\/index.php\/wp-json\/wp\/v2\/comments?post=25"}],"version-history":[{"count":279,"href":"https:\/\/jingyiliu.net\/index.php\/wp-json\/wp\/v2\/pages\/25\/revisions"}],"predecessor-version":[{"id":679,"href":"https:\/\/jingyiliu.net\/index.php\/wp-json\/wp\/v2\/pages\/25\/revisions\/679"}],"wp:attachment":[{"href":"https:\/\/jingyiliu.net\/index.php\/wp-json\/wp\/v2\/media?parent=25"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}