{"id":466,"date":"2017-09-07T10:12:35","date_gmt":"2017-09-07T17:12:35","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=466"},"modified":"2017-09-07T10:12:35","modified_gmt":"2017-09-07T17:12:35","slug":"jacek-jendrej-uchicago","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2017\/09\/07\/jacek-jendrej-uchicago\/","title":{"rendered":"Jacek Jendrej (UChicago)"},"content":{"rendered":"<p>\t\t\t\tThe Analysis and PDE seminar will take place Monday, Sept 11, in Evans 740 from 4:10 to 5:00pm.<\/p>\n<p>Title: Two-bubble dynamics for the equivariant wave maps equation.<\/p>\n<p>Abstract: I will consider the energy-critical wave maps equation with values in the<br \/>\nsphere in the equivariant case, that is for symmetric initial data. It is<br \/>\nknown that if the initial data has small energy, then the corresponding<br \/>\nsolution scatters. Moreover, the initial data of any scattering solution<br \/>\nhas topological degree 0. I try to answer the following question: what are<br \/>\nthe non-scattering solutions of topological degree 0 and the least<br \/>\npossible energy? Such &#8220;threshold&#8221; solutions would have to decompose<br \/>\nasymptotically into a superposition of two ground states at different<br \/>\nscales, with no radiation.<br \/>\nIn the first part I will show how to construct threshold solutions. In the<br \/>\nsecond part I will describe the dynamical behavior of any threshold<br \/>\nsolution.<br \/>\nThe second part is a joint work with Andrew Lawrie (MIT).\t\t<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Analysis and PDE seminar will take place Monday, Sept 11, in Evans 740 from 4:10 to 5:00pm. Title: Two-bubble dynamics for the equivariant wave maps equation. Abstract: I will consider the energy-critical wave maps equation with values in the sphere in the equivariant case, that is for symmetric initial data. It is known that [&hellip;]<\/p>\n","protected":false},"author":108,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-466","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/466","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\/108"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=466"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/466\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=466"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=466"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=466"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}