{"id":1312,"date":"2024-04-14T16:18:19","date_gmt":"2024-04-14T23:18:19","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=1312"},"modified":"2024-04-14T16:18:19","modified_gmt":"2024-04-14T23:18:19","slug":"tarek-elgindi-duke","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2024\/04\/14\/tarek-elgindi-duke\/","title":{"rendered":"Tarek Elgindi (Duke)"},"content":{"rendered":"\n\t\t\t\t\n<p>The APDE seminar on Monday, 4\/15, will be given by Tarek Elgindi (Duke) in-person in <strong>Evans 740,<\/strong>\u00a0and will also be broadcasted online via Zoom from\u00a0<strong>4:10pm to 5:00pm PST<\/strong>. To participate, please email Federico Pasqualotto (fpasqualotto@berkeley.edu) or Mengxuan Yang (mxyang@math.berkeley.edu).<\/p>\n\n\n\n<p><strong>Title:<\/strong> Twisting in Hamiltonian flows and perfect fluids<\/p>\n\n\n\n<p><strong>Abstract:<\/strong> We will discuss a recent result joint with In-Jee Jeong and Theo Drivas. We prove that twisting in Hamiltonian flows on annular domains, which can be quantified\u00a0by the differential winding of particles around the center of the domain, is stable to general\u00a0perturbations. In fact, we prove the all-time stability of the lifted dynamics in an L2\u00a0sense\u00a0(though single particle paths are generically unstable). These stability facts are used to establish\u00a0several results related to the long-time behavior of inviscid fluid flows.<\/p>\n\n\n\n<p><\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday, 4\/15, will be given by Tarek Elgindi (Duke) in-person in Evans 740,\u00a0and will also be broadcasted online via Zoom from\u00a04:10pm to 5:00pm PST. To participate, please email Federico Pasqualotto (fpasqualotto@berkeley.edu) or Mengxuan Yang (mxyang@math.berkeley.edu). Title: Twisting in Hamiltonian flows and perfect fluids Abstract: We will discuss a recent result joint [&hellip;]<\/p>\n","protected":false},"author":102,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1312","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1312","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/102"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=1312"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1312\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=1312"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=1312"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=1312"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}