{"id":1322,"date":"2025-05-04T19:34:22","date_gmt":"2025-05-05T02:34:22","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/hades\/?p=1322"},"modified":"2025-05-04T19:35:32","modified_gmt":"2025-05-05T02:35:32","slug":"vortex-filament-conjecture-for-incompressible-euler-flow","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2025\/05\/04\/vortex-filament-conjecture-for-incompressible-euler-flow\/","title":{"rendered":"Vortex Filament Conjecture for Incompressible Euler Flow"},"content":{"rendered":"<p>The HADES seminar on Tuesday, <strong>May<\/strong><strong>\u00a06th<\/strong>, will be at\u00a0<strong>3:30pm<\/strong>\u00a0in\u00a0<strong>Room 740<\/strong>.<\/p>\n<p><strong>Speaker:<\/strong> Xiaoyu Huang<\/p>\n<p><strong>Abstract:<\/strong>Assume that for the 3D incompressible Euler equation, the initial vorticity is concentrated in an $\\epsilon$-tube around a smooth curve in $\\mathbb R^3$. The Vortex Filament Conjecture suggests that one can construct solutions in which the vorticity remains concentrated around a filament that evolves according to the binormal curvature flow, for a significant amount of time. In this talk, I will discuss recent developments on the vortex filament conjecture.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, May\u00a06th, will be at\u00a03:30pm\u00a0in\u00a0Room 740. Speaker: Xiaoyu Huang Abstract:Assume that for the 3D incompressible Euler equation, the initial vorticity is concentrated in an $\\epsilon$-tube around a smooth curve in $\\mathbb R^3$. The Vortex Filament Conjecture suggests that one can construct solutions in which the vorticity remains concentrated around a filament [&hellip;]<\/p>\n","protected":false},"author":95,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22,1],"tags":[],"class_list":["post-1322","post","type-post","status-publish","format-standard","hentry","category-spring-2025","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1322","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/users\/95"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=1322"}],"version-history":[{"count":1,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1322\/revisions"}],"predecessor-version":[{"id":1323,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1322\/revisions\/1323"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=1322"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=1322"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=1322"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}