{"id":357,"date":"2021-02-16T15:10:07","date_gmt":"2021-02-16T23:10:07","guid":{"rendered":"\/wp\/hades\/?p=357"},"modified":"2021-02-16T15:10:07","modified_gmt":"2021-02-16T23:10:07","slug":"357-2","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2021\/02\/16\/357-2\/","title":{"rendered":"Stability analysis of nonlinear fluid models around affine motions"},"content":{"rendered":"\n\t\t\t\t\n<p>The HADES seminar on Tuesday, <strong>February 9<\/strong> was given by <strong>Calum Rickard <\/strong>via <strong>Zoom<\/strong> from <strong>3:40 to 5 pm.<\/strong><\/p>\n\n\n\n<p><strong>Speaker: <\/strong>Calum Rickard (USC)<\/p>\n\n\n\n<p><strong>Abstract:<\/strong>  The compressible Euler equations describe the flow of an&nbsp;inviscid&nbsp;ideal  gas. The global-in-time existence of strong solutions is proven for  three distinct compressible Euler systems in the presence of vacuum  states which describe different physical and mathematical situations.  Our results are obtained through perturbations around various forms of  expanding background&nbsp;affine&nbsp;motions. The particular properties of the  different&nbsp;affine&nbsp;motions present new mathematical challenges to the  stability analysis in each case. <br><\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, February 9 was given by Calum Rickard via Zoom from 3:40 to 5 pm. Speaker: Calum Rickard (USC) Abstract: The compressible Euler equations describe the flow of an&nbsp;inviscid&nbsp;ideal gas. The global-in-time existence of strong solutions is proven for three distinct compressible Euler systems in the presence of vacuum states which [&hellip;]<\/p>\n","protected":false},"author":89,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-357","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/357","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\/89"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=357"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/357\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=357"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=357"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=357"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}