{"id":16433,"date":"2018-03-09T09:04:01","date_gmt":"2018-03-09T09:04:01","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/propagacion-y-control-de-vibraciones-en-medios-discretos-y-continuos\/"},"modified":"2018-03-09T09:04:01","modified_gmt":"2018-03-09T09:04:01","slug":"propagacion-y-control-de-vibraciones-en-medios-discretos-y-continuos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/propagacion-y-control-de-vibraciones-en-medios-discretos-y-continuos\/","title":{"rendered":"Propagaci\u00f3n y control de vibraciones en medios discretos y continuos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Fabricio Macia Lang <\/strong><\/h2>\n<p>En esta memoria se estudian fen\u00f3menos de propagaci\u00f3n y concentraci\u00f3n de ondas continuas y discretas y se analizan resultados de controlabilidad exacta uniforme para la ecuaci\u00f3n de ondas y de schr\u00ed\u00b6dinger semidiscreta.  se introduce como concepto novedoso e interesante la versi\u00f3n discreta de las medidas de wigner. Esta se define de forma intrinseca e independiente de las posibles interpolaciones espaciales. Se estudian sus propiedades m\u00e1s relevantes y se analiza la relaci\u00f3n con la medida de wigner en su versi\u00f3n continua.  se aplica esta nueva herramienta a la ecuaci\u00f3n de ondas con coeficientes variables, discretizada espacialmente y con condiciones de contorno periodicas. se prueban resultados de concentraci\u00f3n y de no propagaci\u00f3n, lo que da lugar a la construcci\u00f3n de contraejemplos que prueban que la desigualdad de observabilidad para el caso discreto no se verifica de forma uniforme. Esto explica y clarifica la no controlabilidad exacta uniforme de la ecuaci\u00f3n de ondas semidiscreta.  posteriormente se considera el problema de la controlabilidad exacta para este mismo problema con las frecuencias altas convenientemente filtradas. mediante un an\u00e1lisis a altas frecuencias, se obtienen condiciones necesarias y suficientes, en t\u00e9rminos de caracterizaciones geom\u00e9tricas de los dominios w (soporte del control) y tiempo t (tiempo durante el cual act\u00faa el control), para la obtenci\u00f3n de la desigualdad de observabilidad uniforme.  finalmente se estudia tambi\u00e9n la propiedad de la observabilidad uniforme para la ecuaci\u00f3n de schr\u00ed\u00b6dinger semidiscreta, con condiciones de contorno peri\u00f3dico y con las frecuencias altas filtradas. Se prueba en este caso que el tiempo t se puede tomar arbitrariamente peque\u00f1o.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Propagaci\u00f3n y control de vibraciones en medios discretos y continuos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Propagaci\u00f3n y control de vibraciones en medios discretos y continuos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Fabricio Macia Lang <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 16\/04\/2002<\/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:  L\u00f3pez vel\u00e1zquez Juan  jose <\/li>\n<li>Luis Vega gonzalez (vocal)<\/li>\n<li>alexander Markowich peter (vocal)<\/li>\n<li>pablo Pedregal tercero (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Fabricio Macia Lang En esta memoria se estudian fen\u00f3menos de propagaci\u00f3n y concentraci\u00f3n de ondas continuas y [&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":[3183,126],"tags":[51935,24518,51934,38892,51242,38780],"class_list":["post-16433","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-matematicas","tag-alexander-markowich-peter","tag-enrique-zuazua-iriondo","tag-fabricio-macia-lang","tag-lopez-velazquez-juan-jose","tag-luis-vega-gonzalez","tag-pablo-pedregal-tercero"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/16433","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=16433"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/16433\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=16433"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=16433"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=16433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}