{"id":62259,"date":"2018-03-09T22:50:10","date_gmt":"2018-03-09T22:50:10","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/formacion-de-singularidadesen-algunos-problemas-de-reaccion-difusion-no-lineales\/"},"modified":"2018-03-09T22:50:10","modified_gmt":"2018-03-09T22:50:10","slug":"formacion-de-singularidadesen-algunos-problemas-de-reaccion-difusion-no-lineales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/carlos-iii-de-madrid\/formacion-de-singularidadesen-algunos-problemas-de-reaccion-difusion-no-lineales\/","title":{"rendered":"Formacion de singularidadesen algunos problemas de reaccion difusion no lineales"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Mar\u00eda  Teresa P\u00e9rez Llanos <\/strong><\/h2>\n<p>El nexo com\u00fan entre los trabajos que integran la siguiente memoria es el estudio del fen\u00f3meno de explosi\u00f3n en ciertos problemas de evoluci\u00f3n de tipo parab\u00f3lico. comenzamos proponiendo un m\u00e9todo num\u00e9rico para tratar el problema de dirichlet asociado a la ecuaci\u00f3n del p-laplaciano con una fuente no lineal en un intervalo acotado. Demostramos que las aproximaciones  num\u00e9ricas obtenidas convergen a las  soluciones del problema continuo, y que verifican un principio de comparaci\u00f3n,  adem\u00e1s de otras propiedades. Con ellas reproducimos las condiciones de existencia de explosi\u00f3n, tasas y conjuntos de explosi\u00f3n y comportamiento asint\u00f3tico  conocidos para  las soluciones del problema continuo. a continuaci\u00f3n estudiamos un problema asociado al operador doblemente no lineal con condici\u00f3n de contorno de tipo neumann no lineal en un intervalo acotado. Demostramos existencia local de soluciones de dicho problema, y determinamos los conjuntos y tasas de explosi\u00f3n en funci\u00f3n del valor de los exponentes que intervienen. Asimismo, para cierto valor de los mismos, demostramos la convergencia de las soluciones a un perfil estacionario. finalizamos dando algunos ejemplos de problemas parab\u00f3licos en varias dimensiones espaciales, cuyas soluciones explotan en compactos no triviales, de dimensi\u00f3n arbitrariamente menor que la del espacio ambiente. Para ello deberemos estudiar el soporte de las soluciones de ciertos problemas el\u00edpticos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Formacion de singularidadesen algunos problemas de reaccion difusion no lineales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Formacion de singularidadesen algunos problemas de reaccion difusion no lineales <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Mar\u00eda  Teresa P\u00e9rez Llanos <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Carlos III de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 21\/12\/2007<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Ferreira  De Pablo Raul<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Marcellan Espa\u00f1ol <\/li>\n<li>Fuensanta Andreu Vaillo (vocal)<\/li>\n<li> Vazquez Suarez Juan  Luis (vocal)<\/li>\n<li> Arrieta Algarra Jos\u00e9 Mar\u00eda (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Mar\u00eda Teresa P\u00e9rez Llanos El nexo com\u00fan entre los trabajos que integran la siguiente memoria es el [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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