{"id":423,"date":"2023-04-21T06:56:48","date_gmt":"2023-04-21T10:56:48","guid":{"rendered":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/?p=423"},"modified":"2023-06-16T15:28:00","modified_gmt":"2023-06-16T19:28:00","slug":"hamilton-jacobi-problems-on-graphs-and-networks","status":"publish","type":"post","link":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/2023\/04\/hamilton-jacobi-problems-on-graphs-and-networks\/","title":{"rendered":"Hamilton\u2013Jacobi problems on graphs and networks."},"content":{"rendered":"<h3>Speaker: <a href=\"https:\/\/research.uniroma1.it\/researcher\/0306a68c11525e716e70fbbb19158dc62d8db90a66bdcd63d2e03a4f\" target=\"_blank\" rel=\"noopener\">Antonio Siconolfi<\/a><\/h3>\n<h3>Sapienza University of Rome, Italy<\/h3>\n<h3>Date: Monday, April 24, 2023 at 12 Santiago time<\/h3>\n<p style=\"text-align: left;\"><b>Abstract:\u00a0<\/b>The talk presents some Hamilton\u2013Jacobi problems on networks. The pecu- liarity is that the Hamiltonians on different arcs are unrelated, without any compatibility condition at the vertices. Nevertheless, uniqueness result and comparison principles can be obtained, suitably exploiting the geometry of the network,<\/p>\n<div class=\"page\" title=\"Page 1\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p>Our approach consists in associating to the problem on the network a discrete or semidis- crete equation posed on an underlying abstract graph. This allows testing separately the equations on any arc and proving comparison results without using the doubling variable technique. This is beneficial in the numerical approximation as well.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><strong>Venue:<\/strong> Online via Zoom \/ Sala de Seminarios, 5th floor, Beauchef 851<br \/>\n<strong>Chair:<\/strong>\u00a0Rayssa Caju<\/p>\n<p>&nbsp;<\/p>\n<div>[su_button url=&#8221;https:\/\/youtu.be\/V1sOSkDmarA&#8221; background=&#8221;#bc360a&#8221; size=&#8221;5&#8243; icon=&#8221;icon: youtube-play&#8221;]YouTube video (in English)[\/su_button]<\/div>\n<div>\n<p>&nbsp;<\/p>\n<p>[su_youtube url=&#8221;https:\/\/youtu.be\/V1sOSkDmarA&#8221;]<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Antonio Siconolfi (Sapienza University of Rome, Italy)<\/p>\n","protected":false},"author":85,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[5],"tags":[],"class_list":["post-423","post","type-post","status-publish","format-standard","hentry","category-past-seminar"],"_links":{"self":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/423","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/users\/85"}],"replies":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/comments?post=423"}],"version-history":[{"count":4,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/423\/revisions"}],"predecessor-version":[{"id":452,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/423\/revisions\/452"}],"wp:attachment":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/media?parent=423"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/categories?post=423"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/tags?post=423"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}