{"id":769,"date":"2023-11-08T13:13:49","date_gmt":"2023-11-08T21:13:49","guid":{"rendered":"\/wp\/hades\/?p=769"},"modified":"2023-11-08T13:13:49","modified_gmt":"2023-11-08T21:13:49","slug":"methods-for-sharp-well-posedness-for-completely-integrable-pde","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2023\/11\/08\/methods-for-sharp-well-posedness-for-completely-integrable-pde\/","title":{"rendered":"Methods for sharp well-posedness for completely integrable PDE"},"content":{"rendered":"\n\t\t\t\t\n<p>The HADES seminar on Tuesday, <strong>November 14th<\/strong>, will be at <strong>3:30pm<\/strong>&nbsp;in&nbsp;<strong>Room 740<\/strong>. <\/p>\n\n\n\n<p><strong>Speaker:<\/strong> <a href=\"https:\/\/people.math.wisc.edu\/~laurens\/\">Thierry Laurens<\/a><\/p>\n\n\n\n<p><strong>Abstract:<\/strong>We will describe some of the methods used to prove sharp well-posedness for the Benjamin&#8211;Ono equation in the class of H^s spaces, namely, the method of commuting flows.  Since its introduction by Killip and Visan in 2019, this groundbreaking approach to completely integrable systems has been adapted to a wide variety of models in order to prove sharp well-posedness results that were previously inaccessible.  In this talk, we will describe some of the overarching principles of the method of commuting flows, with a focus on how these ideas were implemented in the case of the Benjamin&#8211;Ono equation.  This is based on joint work with Rowan Killip and Monica Visan.<\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, November 14th, will be at 3:30pm&nbsp;in&nbsp;Room 740. Speaker: Thierry Laurens Abstract:We will describe some of the methods used to prove sharp well-posedness for the Benjamin&#8211;Ono equation in the class of H^s spaces, namely, the method of commuting flows. Since its introduction by Killip and Visan in 2019, this groundbreaking approach [&hellip;]<\/p>\n","protected":false},"author":92,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-769","post","type-post","status-publish","format-standard","hentry","category-fall-2023"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/769","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\/92"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=769"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/769\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=769"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=769"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=769"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}