{"id":134539,"date":"1997-01-01T00:00:00","date_gmt":"1997-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/comportamiento-asintotico-control-y-estabilizacion-de-algunos-sistemas-parabolicos-y-de-placas\/"},"modified":"1997-01-01T00:00:00","modified_gmt":"1997-01-01T00:00:00","slug":"comportamiento-asintotico-control-y-estabilizacion-de-algunos-sistemas-parabolicos-y-de-placas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/comportamiento-asintotico-control-y-estabilizacion-de-algunos-sistemas-parabolicos-y-de-placas\/","title":{"rendered":"Comportamiento asintotico, control y estabilizacion de algunos sistemas parabolicos y de placas."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jaime Ortega Palma <\/strong><\/h2>\n<p>Esta memoria se divide en dos partes. En los tres primeros capitulos se estudian una serie de propiedades espectrales de caracter generico respecto a deformaciones del dominio para el sistema de stokes, el sistema de placas y la ecuacion del calor.  en particular se prueba la simplicidad generica de los autovalores tanto para el sistema de stokes como para el de placas. Ademas se demuestran algunos principios de continuacion unica no estandar, los cuales son de gran utilidad para mostrar resultados de controlabilidad y estabilizacion. Para la ecuacion del calor se demuestra un resultado de controlabilidad generica cuando se impone a la solucion pertenecer a un subespacio invariante para el sistema en ausencia de control.  una herramienta basica para los resultados es la diferenciacion con respecto al dominio.  en el ultimo capitulo se estudia el comportamiento asintotico, para tiempos grandes, de las soluciones de la ecuacion del calor con coeficientes periodicos. Para ello se utiliza una descomposicion de la solucion en bases de bloch y con herramientas de comportamiento asintotico (lema de watson) se obtienen las tasas del decaimiento.  en este trabajo se obtienen decaimientos en las normas l2 (rn) y l infinito (rn).<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Comportamiento asintotico, control y estabilizacion de algunos sistemas parabolicos y de placas.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Comportamiento asintotico, control y estabilizacion de algunos sistemas parabolicos y de placas. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jaime Ortega Palma <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1997<\/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>Enrique Zuazua Iriondo<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Diaz Diaz Jes\u00fas Ildefonso <\/li>\n<li>Enrique Fernandez Cara (vocal)<\/li>\n<li>Miguel Escobedo Martinez (vocal)<\/li>\n<li>Carlos Conca Rosende (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jaime Ortega Palma Esta memoria se divide en dos partes. En los tres primeros capitulos se estudian [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[3183,986,126],"tags":[69855,24033,7866,24518,248668,27826],"class_list":["post-134539","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-complutense-de-madrid","category-matematicas","tag-carlos-conca-rosende","tag-diaz-diaz-jesus-ildefonso","tag-enrique-fernandez-cara","tag-enrique-zuazua-iriondo","tag-jaime-ortega-palma","tag-miguel-escobedo-Martinez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/134539","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=134539"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/134539\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=134539"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=134539"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=134539"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}