{"id":579,"date":"2023-02-07T12:34:40","date_gmt":"2023-02-07T20:34:40","guid":{"rendered":"\/wp\/hades\/?p=579"},"modified":"2023-02-07T12:34:40","modified_gmt":"2023-02-07T20:34:40","slug":"well-posedness-for-the-surface-quasi-geostrophic-front-equation","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2023\/02\/07\/well-posedness-for-the-surface-quasi-geostrophic-front-equation\/","title":{"rendered":"Well-posedness for the Surface Quasi-Geostrophic front equation"},"content":{"rendered":"\n\t\t\t\t\n<p class=\"wp-block-paragraph\">The HADES seminar on Tuesday, <strong>March 7th<\/strong>&nbsp;will be at&nbsp;<strong>3:30 pm<\/strong>&nbsp;in&nbsp;<strong>Room 740<\/strong>. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> <strong>Speaker:<\/strong> Ovidiu-Neculai Avadanei  <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Abstract:<\/strong> We consider the well-posedness of the surface quasi-geostrophic (SQG) front equation on the real line. Hunter-Shu-Zhang established well-posedness under a small data condition as well as a convergence condition on an expansion of the equation\u2019s nonlinearity. In the present article, we establish unconditional large data local well-posedness of the SQG front equation in the non-periodic case, while also improving the low regularity threshold for the initial data. In addition, we establish global well-posedness theory in the rough data regime by using the testing by wave packet approach of Ifrim-Tataru.<br><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is joint work with Albert Ai.<\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, March 7th&nbsp;will be at&nbsp;3:30 pm&nbsp;in&nbsp;Room 740. Speaker: Ovidiu-Neculai Avadanei Abstract: We consider the well-posedness of the surface quasi-geostrophic (SQG) front equation on the real line. Hunter-Shu-Zhang established well-posedness under a small data condition as well as a convergence condition on an expansion of the equation\u2019s nonlinearity. In the present article, [&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-579","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/579","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=579"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/579\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=579"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=579"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=579"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}