{"id":636,"date":"2023-04-23T15:29:34","date_gmt":"2023-04-23T22:29:34","guid":{"rendered":"\/wp\/hades\/?p=636"},"modified":"2023-04-23T15:29:34","modified_gmt":"2023-04-23T22:29:34","slug":"asymptotics-of-non-linear-and-linear-waves-on-asymptotically-flat-spacetimes-in-three-space-dimensions","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2023\/04\/23\/asymptotics-of-non-linear-and-linear-waves-on-asymptotically-flat-spacetimes-in-three-space-dimensions\/","title":{"rendered":"Asymptotics of non-linear and linear waves on asymptotically flat spacetimes in three space dimensions"},"content":{"rendered":"\n\t\t\t\t\n<p>The HADES seminar on Tuesday, <strong>April 25th<\/strong>\u00a0will be at\u00a0<strong>3:30 pm<\/strong>\u00a0in\u00a0<strong>Room 740<\/strong>.   <\/p>\n\n\n\n<p><strong>Speaker: <\/strong>Shi-Zhuo Looi<\/p>\n\n\n\n<p><strong>Abstract:<\/strong> In this talk, we start with basic examples of wave decay and then delve into the investigation of asymptotic expansions for both non-linear and linear wave propagation in asymptotically flat spacetimes, allowing for non-stationary spacetimes without spherical symmetry assumptions. The analysis encompasses Schwarzschild spacetime and Kerr spacetimes within the full subextremal range. We present an exposition of a novel approach combining either integrated local energy decay or the limiting absorption principle, the r^p method, and, from a spectral perspective, resolvent expansions near zero energy. Potential applications of this research include scenarios involving waves interacting with spatially-localized objects, such as solitons. <\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, April 25th\u00a0will be at\u00a03:30 pm\u00a0in\u00a0Room 740. Speaker: Shi-Zhuo Looi Abstract: In this talk, we start with basic examples of wave decay and then delve into the investigation of asymptotic expansions for both non-linear and linear wave propagation in asymptotically flat spacetimes, allowing for non-stationary spacetimes without spherical symmetry assumptions. The [&hellip;]<\/p>\n","protected":false},"author":88,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-636","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/636","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\/88"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=636"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/636\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=636"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=636"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=636"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}