{"id":837,"date":"2024-02-11T20:57:30","date_gmt":"2024-02-12T04:57:30","guid":{"rendered":"\/wp\/hades\/?p=837"},"modified":"2024-02-11T20:57:30","modified_gmt":"2024-02-12T04:57:30","slug":"asymptotic-behavior-of-global-solutions-to-a-scalar-quasilinear-wave-equation-satisfying-the-weak-null-condition","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2024\/02\/11\/asymptotic-behavior-of-global-solutions-to-a-scalar-quasilinear-wave-equation-satisfying-the-weak-null-condition\/","title":{"rendered":"Asymptotic behavior of global solutions to a scalar quasilinear wave equation satisfying the weak null condition"},"content":{"rendered":"\n\t\t\t\t\n<p>The HADES seminar on Tuesday, <strong>February 13th<\/strong>, will be at <strong>3:30pm<\/strong>&nbsp;in&nbsp;<strong>Room 939.<\/strong><\/p>\n\n\n\n<p style=\"text-align:left\"><strong>Speaker<\/strong>: <a href=\"https:\/\/math.berkeley.edu\/~yudx\/\">Dongxiao Yu<\/a><\/p>\n\n\n\n<p><strong>Abstract<\/strong>: I will discuss the long time dynamics of a scalar quasilinear wave equation in three space dimensions. This equation satisfies the weak null condition and has global existence for sufficiently small $C_c^\\infty$ initial data. In the talk, I will first present an asymptotic completeness result which describes the asymptotic behavior of global solutions to the scalar quasilinear wave equation near the light cone ($|x|\\approx t$). Then, I will discuss a work in progress on the asymptotic behavior inside the light cone&nbsp;&nbsp;($|x|\\ll t$).<br><\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, February 13th, will be at 3:30pm&nbsp;in&nbsp;Room 939. Speaker: Dongxiao Yu Abstract: I will discuss the long time dynamics of a scalar quasilinear wave equation in three space dimensions. This equation satisfies the weak null condition and has global existence for sufficiently small $C_c^\\infty$ initial data. In the talk, I will [&hellip;]<\/p>\n","protected":false},"author":87,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-837","post","type-post","status-publish","format-standard","hentry","category-spring-2024"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/837","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\/87"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=837"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/837\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=837"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=837"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=837"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}