{"id":1005,"date":"2026-09-03T08:29:57","date_gmt":"2026-09-03T13:29:57","guid":{"rendered":"https:\/\/my.vanderbilt.edu\/pderesearch\/?page_id=1005"},"modified":"2026-10-15T08:09:01","modified_gmt":"2026-10-15T13:09:01","slug":"pde-seminar-fall-2026","status":"publish","type":"page","link":"https:\/\/my.vanderbilt.edu\/pderesearch\/pde-seminar-fall-2026\/","title":{"rendered":"PDE Seminar Fall 2026"},"content":{"rendered":"<h3>Fridays, 3:30 &#8211; 4:20pm. The talks will be either at the <a href=\"https:\/\/maps.app.goo.gl\/JniPzHEMHCTTBmo2A\"> Sony Building<\/a> or at the <a href=\"https:\/\/maps.app.goo.gl\/Yv6dsduQk8cymWte7\"> Stevenson Center 1<\/a> building. See below for the specific building and room of each talk. Occasionally, talks will be virtual via Zoom. When possible, in-person talks will be live streamed.<\/h3>\n<p>Date:<strong> Friday, Sept 11, 12:30 (note different time).<\/strong><\/p>\n<ul>\n<li>Speaker:<strong>\u00a0 Gong Chen, Georgia Institute of Technology.<\/strong><\/li>\n<li>Title: Global internal mode dynamics for the 1D quartic Klein-Gordon equation.<\/li>\n<li>Abstract: We study the quartic Klein\u2013Gordon equations with a potential in one space dimension as model problems and establish a global description of internal mode dynamics and radiation damping. It is well-known that internal modes not only decay slowly, but their amplitudes can also lose smallness at large times; combined with the slow dispersive decay in 1 dimension, this makes the global analysis particularly delicate. Our approach is based on distorted Fourier transforms, normal form transformations, together with a collection of refined dispersive decay and smoothing estimates, which we exploit even at the level of the internal mode equation itself. This is a joint work with Gael Diebou, Adilbek Kairzhan and Fabio Pusateri.<\/li>\n<li>Location: Sony Building, A1009.<\/li>\n<\/ul>\n<p>Date:<strong> Thursday, October 8 (note different day).<\/strong><\/p>\n<ul>\n<li>Speaker:<strong>\u00a0 Gilbert Weinstein, Ariel University (Israel).<\/strong><\/li>\n<li>Title: TBA.<\/li>\n<li>Abstract: TBA.<\/li>\n<li>Location: Sony Building, Chapel.<\/li>\n<\/ul>\n<p>Date:<strong> Friday, November 13.<\/strong><\/p>\n<ul>\n<li>Speaker:<strong>\u00a0 Ning Tang, University of California Berkeley.<\/strong><\/li>\n<li>Title: TBA.<\/li>\n<li>Abstract: TBA.<\/li>\n<li>Location: Sony Building, A1013.<\/li>\n<\/ul>\n<p>Date:<strong> Friday, December 11.<\/strong><\/p>\n<ul>\n<li>Speaker:<strong>\u00a0 Yanbo Wang, Georgia Institute of Technology.<\/strong><\/li>\n<li>Title: TBA.<\/li>\n<li>Abstract: TBA.<\/li>\n<li>Location: Sony Building, A1009.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Fridays, 3:30 &#8211; 4:20pm. The talks will be either at the Sony Building or at the Stevenson Center 1 building. See below for the specific building and room of each talk. Occasionally, talks will be virtual via Zoom. When possible, in-person talks will be live streamed. Date: Friday, Sept 11, 12:30 (note different time). Speaker:\u00a0&#8230;<\/p>\n","protected":false},"author":2740,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"tags":[],"class_list":["post-1005","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/my.vanderbilt.edu\/pderesearch\/wp-json\/wp\/v2\/pages\/1005","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/my.vanderbilt.edu\/pderesearch\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/my.vanderbilt.edu\/pderesearch\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/pderesearch\/wp-json\/wp\/v2\/users\/2740"}],"replies":[{"embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/pderesearch\/wp-json\/wp\/v2\/comments?post=1005"}],"version-history":[{"count":4,"href":"https:\/\/my.vanderbilt.edu\/pderesearch\/wp-json\/wp\/v2\/pages\/1005\/revisions"}],"predecessor-version":[{"id":1013,"href":"https:\/\/my.vanderbilt.edu\/pderesearch\/wp-json\/wp\/v2\/pages\/1005\/revisions\/1013"}],"wp:attachment":[{"href":"https:\/\/my.vanderbilt.edu\/pderesearch\/wp-json\/wp\/v2\/media?parent=1005"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/pderesearch\/wp-json\/wp\/v2\/tags?post=1005"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}