{"id":734,"date":"2023-10-14T20:16:54","date_gmt":"2023-10-15T03:16:54","guid":{"rendered":"\/wp\/hades\/?p=734"},"modified":"2023-10-14T20:16:54","modified_gmt":"2023-10-15T03:16:54","slug":"wellposedness-for-quasi-linear-problems-and-the-modified-energy-method","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2023\/10\/14\/wellposedness-for-quasi-linear-problems-and-the-modified-energy-method\/","title":{"rendered":"Wellposedness for Quasi-linear Problems and the Modified Energy Method"},"content":{"rendered":"\n\t\t\t\t\n<p> The HADES seminar on Tuesday, <strong>October 17th<\/strong>&nbsp;will be at&nbsp;<strong>3:30pm<\/strong>&nbsp;in&nbsp;<strong>Room 740<\/strong>.    <\/p>\n\n\n\n<p><strong>Speaker: <\/strong>Ryan Martinez<\/p>\n\n\n\n<p><strong>Abstract:<\/strong>  We give an exposition of the Hadamard wellposedness and explain the modified energy method through the use of the Kirchhoff type Wave Equation as an example. We use the ideas from Daniel and Mihaela\u2019s \u201cLocal Wellposedness for Quasilinear Problems: A Primer\u201d as well as from their work with John K.&nbsp; Hunter and Tak Kwong Wong, \u201cLong Time Solutions for a Burgers-Hilbert Equation via a Modified Energy Method.\u201d <\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, October 17th&nbsp;will be at&nbsp;3:30pm&nbsp;in&nbsp;Room 740. Speaker: Ryan Martinez Abstract: We give an exposition of the Hadamard wellposedness and explain the modified energy method through the use of the Kirchhoff type Wave Equation as an example. We use the ideas from Daniel and Mihaela\u2019s \u201cLocal Wellposedness for Quasilinear Problems: A Primer\u201d [&hellip;]<\/p>\n","protected":false},"author":93,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-734","post","type-post","status-publish","format-standard","hentry","category-fall-2023"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/734","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\/93"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=734"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/734\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=734"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=734"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=734"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}