{"id":11,"date":"2024-08-07T22:58:30","date_gmt":"2024-08-07T20:58:30","guid":{"rendered":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/?page_id=11"},"modified":"2024-08-27T21:49:42","modified_gmt":"2024-08-27T19:49:42","slug":"program","status":"publish","type":"page","link":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/program\/","title":{"rendered":"Program"},"content":{"rendered":"<h2>Thursday Sept 5<\/h2>\n<ul>\n<li>8:30 am in Santiago \/ 2:30 pm in Lille: <a href=\"#cienfuegos\">Rodrigo Cienfuegos<\/a>, as invited speaker from LEMON-NEMOLOCO teams <a href=\"https:\/\/team.inria.fr\/lemon\/nemoloco\/\" target=\"_blank\" rel=\"noopener\">https:\/\/team.inria.fr\/lemon\/nemoloco\/<\/a><\/li>\n<li>9:30 am in Santiago \/ 3:30 pm in Lille: <a href=\"#goubet\">Olivier Goubet<\/a><\/li>\n<li>10:30 am in Santiago \/ 4:30 pm in Lille: Coffee Break.<\/li>\n<li>10:45 am in Santiago \/ 4:45 pm in Lille: <a href=\"#tapia\">Sebastian Tapia<\/a><\/li>\n<\/ul>\n<div class=\"su-divider su-divider-style-default\" style=\"margin:15px 0;border-width:3px;border-color:#e63312\"><\/div>\n<h3 id=\"cienfuegos\"><strong>Rodrigo Cienfuegos<\/strong><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"speaker_pic alignnone wp-image-86 size-full\" src=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/rodrigo_cienfuegos_01.jpg\" alt=\"Rodrigo Cienfuegos\" width=\"200\" height=\"200\" srcset=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/rodrigo_cienfuegos_01.jpg 200w, https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/rodrigo_cienfuegos_01-150x150.jpg 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/p>\n<h4><strong>Nonlinear energy transfers in very shallow coastal waters: rogue waves forced by infragravity waves penetrating in the laguna C\u00e1huil<\/strong><\/h4>\n<p>Long infragravity waves with periods between 30 seconds and 10 minutes are generated by nonlinear surfzone processes experienced by high energy swells reaching the coast of Chile. During a field campaign conducted in August 2023, we measured the free penetration of these long-waves into the sallow bar-built estuary of laguna C\u00e1huil located in the O\u2019Higgins Region. We show that they enter into the laguna with very high Ursell numbers and fission in a dispersive shock wave regime. Solitonic wave trains are thus generated, refracting within the lagoon and reflecting at its borders. The continuos input of infragravity energy from the incoming swells and the crossing of solitonic wave trains, result in a soliton gas like state within the laguna, where strongly non-gaussian wave fields and rogue waves are observed. We show that numerical simulations using the fully nonlinear and weakly dispersive Serre-Green-Naghdi equations are able to reproduce these wave processes reaching similar statistical and spectral characteristics. These field and numerical experiments support previous theoretical studies where intense solitonic wave-wave interactions were shown to explain rough wave appearance in shallow waters.<\/p>\n<div class=\"su-divider su-divider-style-default\" style=\"margin:15px 0;border-width:2px;border-color:#e63312\"><a href=\"#\" style=\"color:#999999\">Go to top<\/a><\/div>\n<h3 id=\"goubet\"><strong>Olivier Goubet<\/strong><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"speaker_pic alignnone wp-image-83 size-full\" src=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/olivier_goubet_01.jpg\" alt=\"Olivier Goubet\" width=\"200\" height=\"200\" srcset=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/olivier_goubet_01.jpg 200w, https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/olivier_goubet_01-150x150.jpg 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/p>\n<h4><strong>Propagation of long waves in shallow water with varying bathymetry.<\/strong><\/h4>\n<p>We discuss here some asymptotical models for long waves in shallow water when the bathymetry fluctuates.<br \/>\nHow a sudden modification of the bathymetry may provide tsunami waves?<br \/>\nMay we slow down rough waves by controling the bathymetry?<\/p>\n<div class=\"su-divider su-divider-style-default\" style=\"margin:15px 0;border-width:2px;border-color:#e63312\"><a href=\"#\" style=\"color:#999999\">Go to top<\/a><\/div>\n<h3 id=\"tapia\"><strong>Sebastian Tapia<\/strong><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"speaker_pic alignnone wp-image-85 size-full\" src=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/sebastian_tapia_02.jpg\" alt=\"Sebasti\u00e1n Tapia\" width=\"200\" height=\"200\" srcset=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/sebastian_tapia_02.jpg 200w, https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/sebastian_tapia_02-150x150.jpg 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/p>\n<h4><strong>Fractal Dynamics in Quintic NLS Soliton Collisions Review<\/strong><\/h4>\n<p>We will explore the multi bouncing and fractal phenomena observed in the velocity-phase relationship during soliton collisions in the quintic nonlinear Schr\u00f6dinger equation. We will present a classical finite difference scheme adapted for simulating these collisions, followed by the derivation and simulation of the governing system of ODEs for soliton trajectories and velocities. Additionally, we will discuss potential invariants that may help clarify the origins of the fractal patterns, both within the original PDE and the reduced ODE system.<\/p>\n<div class=\"su-divider su-divider-style-default\" style=\"margin:15px 0;border-width:2px;border-color:#e63312\"><a href=\"#\" style=\"color:#999999\">Go to top<\/a><\/div>\n<h2>Friday Sept 6<\/h2>\n<ul>\n<li>8:30 am in Santiago \/ 2:30 pm in Lille: <a href=\"#martinez\">Maria Eugenia Martinez<\/a> (zoom)<\/li>\n<li>9:30 am in Santiago \/ 3:30 pm in Lille: <a href=\"#courtes\">Clementine Courtes<\/a> (zoom)<\/li>\n<li>10:30 am in Santiago \/ 4:30 pm in Lille: Coffee Break.<\/li>\n<li>10:45 am in Santiago \/ 4:45 pm in Lille: <a href=\"#poblete\">Felipe Poblete<\/a><\/li>\n<\/ul>\n<div class=\"su-divider su-divider-style-default\" style=\"margin:15px 0;border-width:3px;border-color:#e63312\"><a href=\"#\" style=\"color:#999999\">Go to top<\/a><\/div>\n<h3 id=\"martinez\"><strong>Mar\u00eda Eugenia Mart\u00ednez<\/strong><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"speaker_pic alignnone wp-image-82 size-full\" src=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/maria_eugenia_martinez_01.jpg\" alt=\"Mar\u00eda Eugenia Mart\u00ednez\" width=\"200\" height=\"200\" srcset=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/maria_eugenia_martinez_01.jpg 200w, https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/maria_eugenia_martinez_01-150x150.jpg 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/p>\n<h4><strong>The Soliton Problem in Water Wave Models with a Varying Medium<\/strong><\/h4>\n<p>We explore the behavior of solitary waves in two deep water wave models: the Whitham equation and the Zakharov water wave system. Our study focuses on how these waves respond to environmental changes, such as the introduction of a potential in the power cases of the Whitham equation or alterations in the fluid domain&#8217;s bottom in the Zakharov water wave system.<br \/>\nDuring these interactions, the solitary wave experiences changes in speed (and amplitude), governed by an ODE that describes the interaction dynamics. We propose that the essence of understanding these interactions lies in analyzing the dynamical system that dictates the speed of the solitary wave throughout the interaction regime.<\/p>\n<h3 id=\"cienfuegos\"><strong>\u00a0<\/strong><\/h3>\n<div class=\"su-divider su-divider-style-default\" style=\"margin:15px 0;border-width:2px;border-color:#e63312\"><a href=\"#\" style=\"color:#999999\">Go to top<\/a><\/div>\n<h3 id=\"courtes\"><strong>Cl\u00e9mentine Court\u00e8s<\/strong><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"speaker_pic alignnone wp-image-87 size-full\" src=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/clementine_courtes_01.jpg\" alt=\"Cl\u00e9mentine Court\u00e8s\" width=\"200\" height=\"200\" srcset=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/clementine_courtes_01.jpg 200w, https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/clementine_courtes_01-150x150.jpg 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/p>\n<h4><strong>Numerical study for some water waves models<\/strong><\/h4>\n<p>One of the aims of the PANDA project is to model and better understand waves propagation on the ocean surface. This talk will focus on two numerical aspects of the PANDA project :<br \/>\n&#8211; the numerical modeling of the solitary waves for the Korteweg-de Vries equation or the Whitham equation with a non-flat bottom<br \/>\n&#8211; the numerical analysis of a finite-difference scheme for the abcd system.<br \/>\nI will present the very first results in progress in each of these two directions, as well as the future steps we plan to take.<\/p>\n<div class=\"su-divider su-divider-style-default\" style=\"margin:15px 0;border-width:2px;border-color:#e63312\"><a href=\"#\" style=\"color:#999999\">Go to top<\/a><\/div>\n<h3 id=\"poblete\"><strong>Felipe Poblete<\/strong><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"speaker_pic alignnone wp-image-88 size-full\" src=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/felipe_poblete_01.jpg\" alt=\"Felipe Poblete\" width=\"200\" height=\"200\" srcset=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/felipe_poblete_01.jpg 200w, https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-content\/uploads\/sites\/196\/2024\/08\/felipe_poblete_01-150x150.jpg 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/p>\n<h4><strong>The scattering problem for Hamiltonian ABCD<\/strong><br \/>\n<strong>Boussinesq systems in the energy space<\/strong><\/h4>\n<p>We will explore the Boussinesq abcd system originally derived by Bona, Chen, and Saut. We will focus particularly on the regime where b, d &gt; 0 and a, c &lt; 0, noting that if b = d, the system becomes Hamiltonian. During this presentation, we will analyze the problem of decay and scattering in this regime. We will show that for suciently dispersive abcd systems, all small solutions must decay to zero in the energy space within a proper subset of the light cone. This will be shown using virial functionals that enable global-in-time control of local terms in H^{1} \u00d7 H^{1}, without requiring additional assumptions on parity or decay.<\/p>\n<div class=\"su-divider su-divider-style-default\" style=\"margin:15px 0;border-width:2px;border-color:#e63312\"><a href=\"#\" style=\"color:#999999\">Go to top<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Thursday Sept 5 8:30 am in Santiago \/ 2:30 pm in Lille: Rodrigo Cienfuegos, as invited speaker from LEMON-NEMOLOCO teams https:\/\/team.inria.fr\/lemon\/nemoloco\/ 9:30 am in Santiago \/ 3:30 pm in Lille: Olivier Goubet 10:30 am in Santiago \/ 4:30 pm in Lille: Coffee Break. 10:45 am in Santiago \/ 4:45 pm in Lille: Sebastian Tapia Rodrigo &hellip; <a href=\"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/program\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Program<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-11","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-json\/wp\/v2\/pages\/11","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-json\/wp\/v2\/comments?post=11"}],"version-history":[{"count":37,"href":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-json\/wp\/v2\/pages\/11\/revisions"}],"predecessor-version":[{"id":27,"href":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-json\/wp\/v2\/pages\/11\/revisions\/27"}],"wp:attachment":[{"href":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/wp-json\/wp\/v2\/media?parent=11"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}