{"id":1551,"date":"2026-01-30T21:56:04","date_gmt":"2026-01-31T05:56:04","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/hades\/?p=1551"},"modified":"2026-03-09T15:38:22","modified_gmt":"2026-03-09T22:38:22","slug":"global-strong-well-posedness-of-the-cao-problem-introduced-by-lions-temam-and-wang","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2026\/01\/30\/global-strong-well-posedness-of-the-cao-problem-introduced-by-lions-temam-and-wang\/","title":{"rendered":"Global strong well-posedness of the CAO-problem introduced by Lions, Temam and Wang"},"content":{"rendered":"<p>The HADES seminar on Tuesday, <strong>February<\/strong><b>\u00a03rd<\/b>, will be at <strong>3:30pm<\/strong>\u00a0in\u00a0<strong>Room 740<\/strong>.<\/p>\n<p><strong>Speaker:\u00a0<\/strong>Felix Brandt<\/p>\n<p><strong>Abstract: <\/strong>The CAO-problem concerns a system of two fluids described by two primitive equations coupled by nonlinear interface conditions. Lions, Temam and Wang proved in their pioneering work the existence of a weak solution to the CAO-system. Its uniqueness remained an open problem.<\/p>\n<p>In this talk, we show that this coupled CAO-system is globally strongly well-posed for large data in critical Besov spaces. The approach presented relies on an optimal data result for the boundary terms in the linearized system in terms of time-space Triebel-Lizorkin spaces. Boundary terms are controlled by paraproduct methods.<\/p>\n<p>This talk is based on joint work with Tim Binz, Matthias Hieber and Tarek Z\u00f6chling.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, February\u00a03rd, will be at 3:30pm\u00a0in\u00a0Room 740. Speaker:\u00a0Felix Brandt Abstract: The CAO-problem concerns a system of two fluids described by two primitive equations coupled by nonlinear interface conditions. Lions, Temam and Wang proved in their pioneering work the existence of a weak solution to the CAO-system. Its uniqueness remained an open [&hellip;]<\/p>\n","protected":false},"author":95,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[26,1],"tags":[],"class_list":["post-1551","post","type-post","status-publish","format-standard","hentry","category-spring-2026","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1551","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\/95"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=1551"}],"version-history":[{"count":1,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1551\/revisions"}],"predecessor-version":[{"id":1552,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1551\/revisions\/1552"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=1551"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=1551"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=1551"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}