{"id":12887,"date":"2018-03-09T08:58:57","date_gmt":"2018-03-09T08:58:57","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-asintoticos-en-ecuaciones-en-derivadas-parciales-orginadas-en-teoria-cinetica-y-cuantica\/"},"modified":"2018-03-09T08:58:57","modified_gmt":"2018-03-09T08:58:57","slug":"metodos-asintoticos-en-ecuaciones-en-derivadas-parciales-orginadas-en-teoria-cinetica-y-cuantica","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/metodos-asintoticos-en-ecuaciones-en-derivadas-parciales-orginadas-en-teoria-cinetica-y-cuantica\/","title":{"rendered":"M\u00e9todos asint\u00f3ticos en ecuaciones en derivadas parciales orginadas en teor\u00eda cin\u00e9tica y cu\u00e1ntica"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Juan  Jose Mu\u00f1oz Nieto <\/strong><\/h2>\n<p>Esta tesis consta de una introducci\u00f3n general y cinco cap\u00edtulos correspondientes a cinco trabajadores de investigaci\u00f3n cuyo punto en com\u00fan es su origen en la teor\u00eda de semiconductores.  en el segundo cap\u00edtulo (primero, tras la introducci\u00f3n) se analiza rigurosamente el l\u00edmite de campo alto del sistema de vlasov-poisson-fokker-planck (vpfp) cuando el recorrido libre medio t\u00e9rmico tiende a cero. Adem\u00e1s se analizan propiedades de existencia y unicidad del sistema l\u00edmite obtenido dependiendo de la dimensi\u00f3n espacial y del car\u00e1cter atractivo o repulsivo del modelo.  motivados por este estudio en una dimensi\u00f3n, y buscando propiedades de unicidad que permitan destacar la soluci\u00f3n obtenida como l\u00edmite de campo alto, en el cap\u00edtulo 3 se realiza un completo estudio de unicidad en leyes de conservaci\u00f3n para datos iniciales d\u00e9biles. Se demuestra que dos conceptos cl\u00e1sicos de soluci\u00f3n, soluci\u00f3n entr\u00f3pica y soluci\u00f3n admisible, son equivalentes e incluso se debilitan las hip\u00f3tesis para obtener una \u00fanica soluci\u00f3n f\u00edsicamente relevante.  en el siguiente cap\u00edtulo se conectan, mediante el m\u00e9todo de cancelaci\u00f3n de la viscosidad, el l\u00edmite parab\u00f3lico de vpfp y el hiperb\u00f3lico o de campo alto estudiado en el cap\u00edtulo 2. Se prueba con rigor que el primero no es m\u00e1s que una perturbaci\u00f3n estable de tipo viscoso del segundo usando diversas t\u00e9cnicas dependiendo de la dimensi\u00f3n espacial de definici\u00f3n. Adem\u00e1s se estudian propiedades de regularidad y de explosi\u00f3n en tiempo finito para el primero de los sistemas.  los dos \u00faltimos cap\u00edtulos constituyen el estudio de modelos cu\u00e1nticos de esta memoria. En ellos se deduce y estudia un modelo matem\u00e1tico que describa la din\u00e1mica de un electr\u00f3n que atraviesa una red i\u00f3nica, un polar\u00f3n. en el cap\u00edtulo 5, bajo una hip\u00f3tesis de interacci\u00f3n de tipo arm\u00f3nica y local entre los iones del cristal, se deduce un nuevo modelo para la evoluci\u00f3n del polar\u00f3n que es una variante del s<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>M\u00e9todos asint\u00f3ticos en ecuaciones en derivadas parciales orginadas en teor\u00eda cin\u00e9tica y cu\u00e1ntica<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 M\u00e9todos asint\u00f3ticos en ecuaciones en derivadas parciales orginadas en teor\u00eda cin\u00e9tica y cu\u00e1ntica <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Juan  Jose Mu\u00f1oz Nieto <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 22\/09\/2001<\/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>Juan Soler Vizca\u00edno<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: yann Brenier <\/li>\n<li> L\u00f3pez vel\u00e1zquez Juan  Jos\u00e9 (vocal)<\/li>\n<li>fr\u00e9deric Poupaud (vocal)<\/li>\n<li> L\u00f3pez fern\u00e1ndez Jos\u00e9 Luis (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Juan Jose Mu\u00f1oz Nieto Esta tesis consta de una introducci\u00f3n general y cinco cap\u00edtulos correspondientes a cinco [&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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