{"id":678,"date":"2022-03-21T21:22:24","date_gmt":"2022-03-21T21:22:24","guid":{"rendered":"https:\/\/pages.charlotte.edu\/colloquium\/?p=678"},"modified":"2022-03-21T21:22:24","modified_gmt":"2022-03-21T21:22:24","slug":"friday-march-25-2022-1100-1200-in-person","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/colloquium\/blog\/2022\/03\/21\/friday-march-25-2022-1100-1200-in-person\/","title":{"rendered":"Friday, March 25, 2022, 11:00-12:00, in person"},"content":{"rendered":"\n<p><strong>Speaker:<\/strong>\u00a0Dr. <a href=\"https:\/\/www.ohio.edu\/cas\/wuq\">Qiliang Wu<\/a> from Ohio University (invited by Helen Li)<\/p>\n\n\n\n<p><strong>Title:<\/strong>\u00a0Pearling and Localized Undulation of Bilayers in Amphiphilic Morphology<\/p>\n\n\n\n<p><strong>Abstract:<\/strong> Amphiphiles, such as lipids and functionalized polymers, plays a central<br>role in the self-assembly of solvent accessible, intricately structured<br>nano-scaled network structures, which are vital in cell functionality and<br>offer wide applications to drug delivery, detergent production, emulsion<br>stabilization and energy conversion devices. We study amphiphilic<br>morphology in the framework of the functionalized Cahn-Hilliard (FCH)<br>energy. The FCH is a continuum model accommodating various co-dimensional<br>structures such as bilayers (co-dim 1), filaments (co-dim 2) and micelles<br>(co-dim 3). We focus on defect structures that break the dimensional<br>reduction and include endcaps that terminate filaments or bilayers and Y<br>junctions. More specifically, we show the existence of pearled bilayer<br>solutions via a spatial-dynamics formulation, in combination with center<br>manifold reduction and a fixed-point argument. In addition, we also show<br>via a functional analytic framework that in the presence of spatial<br>inhomogeneity, localized undulation appears under proper functionalization<br>terms. More interestingly, both the pearling and localized undulation are<br>shown to be a manifestation of a degenerate 1:1 resonance Hopf<br>bifurcation encoded in a reduced ODE system from the FCH energy.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker:\u00a0Dr. Qiliang Wu from Ohio University (invited by Helen Li) Title:\u00a0Pearling and Localized Undulation of Bilayers in Amphiphilic Morphology Abstract: Amphiphiles, such as lipids and functionalized polymers, plays a centralrole in the self-assembly of solvent accessible, intricately structurednano-scaled network structures, which are vital in cell functionality andoffer wide applications to drug delivery, detergent production, emulsionstabilization [&hellip;]<\/p>\n","protected":false},"author":2373,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-678","post","type-post","status-publish","format-standard","hentry","category-spring-2022"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3kCtT-aW","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/678","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/users\/2373"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/comments?post=678"}],"version-history":[{"count":1,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/678\/revisions"}],"predecessor-version":[{"id":679,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/678\/revisions\/679"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/media?parent=678"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/categories?post=678"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/tags?post=678"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}