{"id":486,"date":"2023-09-06T04:59:49","date_gmt":"2023-09-06T07:59:49","guid":{"rendered":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/?p=486"},"modified":"2023-09-28T13:45:00","modified_gmt":"2023-09-28T16:45:00","slug":"travelling-wave-solutions-to-abcd-systems","status":"publish","type":"post","link":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/2023\/09\/travelling-wave-solutions-to-abcd-systems\/","title":{"rendered":"Travelling wave solutions to abcd systems"},"content":{"rendered":"<h3>Speaker: <a href=\"https:\/\/pro.univ-lille.fr\/olivier-goubet\">Olivier Goubet<\/a><\/h3>\n<h3>Universit\u00e9 de Lille &#8211; CNRS, France<\/h3>\n<h3>Date: Monday, September 11th, 2023 at 12 Santiago time<\/h3>\n<div><strong>Abstract:<\/strong>\u00a0 We are interested in<\/div>\n<div>the so-called \\( abcd\\) system introduced by J. Bona, M. Chen and JC. Saut.<\/div>\n<div>This system reads $$h_{t}+v_x-bh_{txx}+av_{xxx}+(hv)_x=0,$$<\/div>\n<div>\n<div>$$v_{t}+h_x-dv_{txx}+ch_{xxx}+vv_x=0.$$ Here\u00a0 we revisit the existence and stability results for travelling waves solutions\u00a0of these systems.<\/div>\n<p><strong>Venue:<\/strong>\u00a0 Sala de Seminarios, 5th floor, Beauchef 851 \/ <a href=\"https:\/\/us06web.zoom.us\/j\/87096488514?pwd=dlozNFAxL09oZGVVSE50YnkzaHA3QT09\">Online via Zoom<\/a><br \/>\n<strong>Chair:<\/strong>\u00a0Rayssa Caju<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Olivier Goubet (Universit\u00e9 de Lille &#8211; CNRS, France)<\/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-486","post","type-post","status-publish","format-standard","hentry","category-past-seminar"],"_links":{"self":[{"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/486","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/users\/85"}],"replies":[{"embeddable":true,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/comments?post=486"}],"version-history":[{"count":7,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/486\/revisions"}],"predecessor-version":[{"id":494,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/486\/revisions\/494"}],"wp:attachment":[{"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/media?parent=486"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/categories?post=486"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dev.eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/tags?post=486"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}