{"id":25,"date":"2023-11-01T03:07:54","date_gmt":"2023-11-01T03:07:54","guid":{"rendered":"https:\/\/jingyiliu.net\/?page_id=25"},"modified":"2025-02-02T20:05:42","modified_gmt":"2025-02-02T20:05:42","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 a Ph.D. student at University of Southern California, working on understanding and modeling how flow physics has shaped the biological and ecological functions of cilia and ciliated systems. Using analytical and computational methods, I develop mathematical models for ciliary motion and surrounding fluid flow, and analyze how cilia-driven fluid dictate feeding performance of microorganisms and their impacts on surrounding dissolved nutrient distribution. I am interested in diffusion process, and emergent phenomena driven by active matter in living system.<\/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-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<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=\"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<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<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;}\" 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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 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 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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 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Using analytical and computational methods, I develop mathematical models for ciliary motion and surrounding fluid flow, and analyze how cilia-driven fluid dictate feeding performance of &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":216,"href":"https:\/\/jingyiliu.net\/index.php\/wp-json\/wp\/v2\/pages\/25\/revisions"}],"predecessor-version":[{"id":582,"href":"https:\/\/jingyiliu.net\/index.php\/wp-json\/wp\/v2\/pages\/25\/revisions\/582"}],"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}]}}