{"id":1992,"date":"2026-01-31T00:31:32","date_gmt":"2026-01-31T00:31:32","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/apde\/?p=1992"},"modified":"2026-01-31T00:31:32","modified_gmt":"2026-01-31T00:31:32","slug":"patrick-flynn-ucla","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2026\/01\/31\/patrick-flynn-ucla\/","title":{"rendered":"Patrick Flynn (UCLA)"},"content":{"rendered":"<p>The APDE seminar on Monday, 2\/2, will be given by Patrick Flynn (UCLA) in-person in <strong>Evans 736,<\/strong>\u00a0and will also be broadcasted online via Zoom from\u00a0<strong>4:10pm to 5:00pm PST<\/strong>. To participate, please email Adam Black (adamblack<span id=\"eeb-322338-403021\"><span id=\"eeb-843318-171438\"><span id=\"eeb-203570-882396\"><span id=\"eeb-990440-551518\"><span id=\"eeb-688663-335757\"><span id=\"eeb-951702-73120\"><span id=\"eeb-183542-482341\"><span id=\"eeb-725178-862757\"><span id=\"eeb-367675-784580\">@berkeley.edu<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>).<\/p>\n<p><strong>Title<\/strong>: Linear decay of the beta-plane equation near Couette flow on the plane<\/p>\n<p><strong>Abstract:\u00a0<\/strong>We prove time decay for the linearized beta-plane equation near shear flow on the plane. Specifically, we show that the profiles of the velocity field components decay polynomially on any compact set, and identify specific rates of decay. Our proof entails the analysis of oscillatory integrals with homogeneous phase and multipliers that diverge in the infinite time limit. To handle this singular limit, we prove a Van der Corput type estimate, followed by a multi-scale asymptotic analysis of the phase and multipliers. This is joint work with Jacob Bedrossian and Sameer Iyer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday, 2\/2, will be given by Patrick Flynn (UCLA) in-person in Evans 736,\u00a0and will also be broadcasted online via Zoom from\u00a04:10pm to 5:00pm PST. To participate, please email Adam Black (adamblack@berkeley.edu). Title: Linear decay of the beta-plane equation near Couette flow on the plane Abstract:\u00a0We prove time decay for the linearized [&hellip;]<\/p>\n","protected":false},"author":119,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1992","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1992","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\/119"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=1992"}],"version-history":[{"count":3,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1992\/revisions"}],"predecessor-version":[{"id":1995,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1992\/revisions\/1995"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=1992"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=1992"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=1992"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}