{"id":1623,"date":"2026-04-25T19:46:45","date_gmt":"2026-04-26T02:46:45","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/hades\/?p=1623"},"modified":"2026-04-25T19:49:35","modified_gmt":"2026-04-26T02:49:35","slug":"accelerated-shock-formation-for-the-energy-critical-euler-poisson-system","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2026\/04\/25\/accelerated-shock-formation-for-the-energy-critical-euler-poisson-system\/","title":{"rendered":"Accelerated Shock Formation for the Energy-Critical Euler-Poisson System"},"content":{"rendered":"<p>The HADES seminar on Tuesday,\u00a0<strong>April 28st<\/strong>, will be at\u00a0<strong>3:30pm<\/strong>\u00a0in\u00a0<strong>Room 740<\/strong>.<\/p>\n<p><strong>Speaker:\u00a0<\/strong>Ely Sandine<\/p>\n<p><strong>Abstract: <\/strong>The Euler-Poisson system of partial differential equations describes the dynamics of a self-gravitating gas. For the energy-critical polytropic pressure law, there is an explicit steady-state solution describing an isolated star. I will discuss recent work which describes the nonlinear phase space around this solution and proves existence of a new instability mechanism: accelerated shock formation. This talk is based on forthcoming work done in collaboration with Mahir Had\u017ei\u0107, Juhi Jang and Sung-Jin Oh.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday,\u00a0April 28st, will be at\u00a03:30pm\u00a0in\u00a0Room 740. Speaker:\u00a0Ely Sandine Abstract: The Euler-Poisson system of partial differential equations describes the dynamics of a self-gravitating gas. For the energy-critical polytropic pressure law, there is an explicit steady-state solution describing an isolated star. I will discuss recent work which describes the nonlinear phase space around [&hellip;]<\/p>\n","protected":false},"author":95,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1623","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1623","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=1623"}],"version-history":[{"count":1,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1623\/revisions"}],"predecessor-version":[{"id":1624,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/1623\/revisions\/1624"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=1623"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=1623"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=1623"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}