{"id":239,"date":"2018-12-10T21:06:20","date_gmt":"2018-12-10T20:06:20","guid":{"rendered":"https:\/\/davidlannes.wordpress.com\/?p=239"},"modified":"2018-12-10T21:06:20","modified_gmt":"2018-12-10T20:06:20","slug":"mathocean-du-10-12-18","status":"publish","type":"post","link":"https:\/\/david-lannes.perso.math.cnrs.fr\/?p=239","title":{"rendered":"MathOcean du 10\/12\/18"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\">(Toulouse, 14h \u00e0 l&rsquo;IMT)<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Eliane Becache<\/strong> (INRIA  et ENSTA Paris Tech) : <em>minicours sur les PML<\/em><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\">Eliane Becache : La m\u00e9thode des couches PMLs est tr\u00e8s populaire pour borner le domaine de  calcul dans les probl\u00e8mes d\u2019ondes et a \u00e9t\u00e9&nbsp; appliqu\u00e9e&nbsp; \u00e0 de nombreux  mod\u00e8les&nbsp; (acoustique, \u00e9lectromagn\u00e9tisme, \u00e9lasticit\u00e9\u2026)&nbsp; transitoires et  fr\u00e9quentiels. <br>Cette pr\u00e9sentation&nbsp; commencera par rappeler la d\u00e9finition des&nbsp; PMLs et  leurs propri\u00e9t\u00e9s.&nbsp; Nous nous int\u00e9resserons ensuite \u00e0 leur analyse  math\u00e9matique, en particulier \u00e0 des questions de stabilit\u00e9. Nous  pr\u00e9senterons d\u2019abord l\u2019analyse pour des mod\u00e8les d\u2019ondes transitoires  hyperboliques lin\u00e9aires non-dispersifs&nbsp; pour lesquels on peut exhiber  une condition n\u00e9cessaire de stabilit\u00e9. Ces r\u00e9sultats permettent de  comprendre pourquoi les PMLs peuvent devenir instables dans certains  milieux anisotropes et donnent des pistes&nbsp; pour construire des PMLs  stabilis\u00e9es. Nous aborderons ensuite des questions de convergence des  PMLs pour des probl\u00e8mes fr\u00e9quentiels dans des guides d\u2019ondes, qui  mettent en \u00e9vidence des diff\u00e9rences \u00e9tonnantes par rapport au cas  transitoire. Nous finirons par des r\u00e9sultats&nbsp; plus r\u00e9cents concernant  des mod\u00e8les lin\u00e9aires dispersifs ainsi que par les probl\u00e8mes qui restent  ouverts. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>(Toulouse, 14h \u00e0 l&rsquo;IMT) Eliane Becache (INRIA et ENSTA Paris Tech) : minicours sur les PML Eliane Becache : La m\u00e9thode des couches PMLs est tr\u00e8s populaire pour borner le domaine de calcul dans les probl\u00e8mes d\u2019ondes et a \u00e9t\u00e9&nbsp; appliqu\u00e9e&nbsp; \u00e0 de nombreux mod\u00e8les&nbsp; (acoustique, \u00e9lectromagn\u00e9tisme, \u00e9lasticit\u00e9\u2026)&nbsp; transitoires et fr\u00e9quentiels. Cette pr\u00e9sentation&nbsp; commencera par [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-239","post","type-post","status-publish","format-standard","hentry","category-mathocean"],"_links":{"self":[{"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/posts\/239","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=239"}],"version-history":[{"count":0,"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/posts\/239\/revisions"}],"wp:attachment":[{"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=239"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=239"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=239"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}