{"id":192,"date":"2012-09-23T21:53:25","date_gmt":"2012-09-24T01:53:25","guid":{"rendered":"https:\/\/www.bu.edu\/pasi-tsunami\/?page_id=192"},"modified":"2012-10-07T11:58:47","modified_gmt":"2012-10-07T15:58:47","slug":"mathematical-foundations","status":"publish","type":"page","link":"https:\/\/www.bu.edu\/pasi-tsunami\/program\/mathematical-foundations\/","title":{"rendered":"Mathematical foundations"},"content":{"rendered":"<h2>on nonlinear dispersive waves<\/h2>\n<h3>by <a title=\"L. Ridgway Scott\" href=\"https:\/\/www.bu.edu\/pasi-tsunami\/people\/l-ridgway-scott\/\">Dr L. Ridgway Scott<\/a><\/h3>\n<address>Departments of Computer Science and Mathematics, University of Chicago<\/address>\n<h3>Syllabus<\/h3>\n<p>(1) Fundamental background in water flow and surface waves<\/p>\n<ul>\n<li>Navier-Stokes equations<\/li>\n<li>Free-surface problems<\/li>\n<li>Non-Newtonian flows.<\/li>\n<\/ul>\n<p>(2) History and basic models in 1-D<\/p>\n<ul>\n<li>Relation to tsunamis<\/li>\n<li>Properties of models<\/li>\n<li>Comparison of models<\/li>\n<\/ul>\n<p>(3) Numerical schemes<\/p>\n<ul>\n<li>Early attempts<\/li>\n<li>Changing the model<\/li>\n<li>State of the art<\/li>\n<\/ul>\n<p>(4) Models in 3-D<\/p>\n<ul>\n<li>Model derivation-basic properties<\/li>\n<li>Relation to Euler equations(vortex\u00a0blob)<\/li>\n<li>Stability results<\/li>\n<\/ul>\n<p>(5) Recent results<\/p>\n<ul>\n<li>Numerical methods: state of the art<\/li>\n<li>Comparison of models<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>on nonlinear dispersive waves by Dr L. Ridgway Scott Departments of Computer Science and Mathematics, University of Chicago Syllabus (1) Fundamental background in water flow and surface waves Navier-Stokes equations Free-surface problems Non-Newtonian flows. (2) History and basic models in 1-D Relation to tsunamis Properties of models Comparison of models (3) Numerical schemes Early attempts [&hellip;]<\/p>\n","protected":false},"author":6513,"featured_media":0,"parent":188,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/pages\/192"}],"collection":[{"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/users\/6513"}],"replies":[{"embeddable":true,"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/comments?post=192"}],"version-history":[{"count":19,"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/pages\/192\/revisions"}],"predecessor-version":[{"id":448,"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/pages\/192\/revisions\/448"}],"up":[{"embeddable":true,"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/pages\/188"}],"wp:attachment":[{"href":"https:\/\/www.bu.edu\/pasi-tsunami\/wp-json\/wp\/v2\/media?parent=192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}