{"id":25942,"date":"2022-03-21T10:56:05","date_gmt":"2022-03-21T09:56:05","guid":{"rendered":"https:\/\/cio.umh.es\/?p=25942"},"modified":"2022-03-21T10:57:38","modified_gmt":"2022-03-21T09:57:38","slug":"dynamics-of-stochastic-nonlocal-reaction-diffusion-equations-driven-by-multiplicative-noise","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2022\/03\/21\/dynamics-of-stochastic-nonlocal-reaction-diffusion-equations-driven-by-multiplicative-noise\/","title":{"rendered":"Dynamics of stochastic nonlocal reaction-diffusion equations driven by multiplicative noise"},"content":{"rendered":"<div data-elementor-type=\"wp-post\" data-elementor-id=\"25942\" class=\"elementor elementor-25942\" data-elementor-settings=\"[]\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f67d99d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f67d99d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-361d8a5\" data-id=\"361d8a5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-de06483 elementor-widget elementor-widget-text-editor\" data-id=\"de06483\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"color: #000080\"><strong>T\u00edtulo:<\/strong> Dynamics of stochastic nonlocal reaction-diffusion equations driven by multiplicative noise<\/span><\/p><p><span style=\"color: #000080\"><strong>Ponente:<\/strong> Jiaohui Xu (Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Universidad de Sevilla)<\/span><\/p><p><span style=\"color: #000080\"><strong>Organizador:<\/strong>\u00a0Jos\u00e9 Valero<\/span><\/p><p><span style=\"color: #000080\"><strong>Date:<\/strong>\u00a0Lunes\u00a028 de\u00a0marzo de 2022 a las 12:00 horas.<\/span><\/p><p><span style=\"color: #000080\"><strong>Lugar:<\/strong>\u00a0Aula de Teor\u00eda 0.2 CIO<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-94f5067 elementor-widget elementor-widget-text-editor\" data-id=\"94f5067\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5517c56 elementor-widget elementor-widget-text-editor\" data-id=\"5517c56\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"color: #003366\"><strong>Abstract: <\/strong>This talk deals with fractional stochastic nonlocal partial differential equations driven by multiplicative noise. We first prove the existence and uniqueness of solution to this kind of equations with white noise by applying the Galerkin method. Then, the existence and uniqueness of tempered pullback random attractor for the equation are ensured in an appropriate Hilbert space. When the fractional nonlocal partial differential equations are driven by colored noise, which indeed are approximations of the previous ones, we show the convergence of solutions of Wong-Zakai approximations and the upper semicontinuity of random attractors of the approximate random system as \u03b4 \u2192 0.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>T\u00edtulo: Dynamics of stochastic nonlocal reaction-diffusion equations driven by multiplicative noise<br \/>\nPonente: Jiaohui Xu (Dpto. Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Universidad de Sevilla)<br \/>\nOrganizador:\u00a0Jos\u00e9 Valero<br \/>\nFecha:\u00a0Lunes\u00a028 de\u00a0marzo de 2022 a las 12:00 horas.<br \/>\nLugar:\u00a0Aula de Teor\u00eda 0.2 CIO<br \/>\nAbstract: This talk deals with fractional stochastic nonlocal partial differential equations driven by multiplicative noise. We first prove the existence and uniqueness [&#8230;]<\/p>","protected":false},"author":5675,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[873],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25942"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/5675"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=25942"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25942\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=25942"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=25942"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=25942"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}