{"id":23175,"date":"2018-03-09T09:13:38","date_gmt":"2018-03-09T09:13:38","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/homogeneizacion-de-estructuras-reticuladas-un-metodo-multiescala\/"},"modified":"2018-03-09T09:13:38","modified_gmt":"2018-03-09T09:13:38","slug":"homogeneizacion-de-estructuras-reticuladas-un-metodo-multiescala","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sevilla\/homogeneizacion-de-estructuras-reticuladas-un-metodo-multiescala\/","title":{"rendered":"Homogeneizaci\u00f3n de estructuras reticuladas: un m\u00e9todo multiescala"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Manuel Luna Laynez <\/strong><\/h2>\n<p>En la memoria se introduce un nuevo m\u00e9todo para estudiar el comportamiento asint\u00f3tico de las soluciones de problemas en ecuaciones en derivadas parciales, planteados sobre estructuras reticuladas dependientes de varios par\u00e1metros. se trata de una adaptaci\u00f3n original de un m\u00e9todo de t.Arbogast, j. Douglas, u. Hornung para el tratamiento de ciertos problemas de homogeneizaci\u00f3n peri\u00f3dicos, y est\u00e1 estrechamente relacionado con la convergencia en dos escalas de g.Nguetseng y g.Allaire. La idea es introducir adecuados cambios de variables que transforman la sucesi\u00f3n de soluciones, definidas osbre domingos omega e (estructuras reticuladas) que var\u00edan con e, en nuevas sucesiones (el \u00edndice i asocia cada funci\u00f3n con uno de los elementos que constituyen la estructura) definidas sobre dominios fijos. La nueva variable y contiene informaci\u00f3n sobre la microestructura del problema y es obtenida escalada la celda de periodicidad. De este modo, estudiando el comportamiento asint\u00f3tico de ue a partir del l\u00edmiete de ***, no se requiere el uso de sofisticadas t\u00e9cnicas de prolongaci\u00f3n. A diferencia de otros m\u00e9todos, el paso al l\u00edmite se realiza en todos los par\u00e1metros a la vez. Al igual que en la convergencia en dos escalas, se obtiene un sistema homogeneizado donde aaprecen las dos escalas. Las soluciones de este sistema, sin exigirles propiedades adicionales de regularidad, proporcionan expresiones asint\u00f3ticas de ue en topolog\u00edas de tipo sobolev.  destacar que el m\u00e9todo permite tratar con heterogeneidades muy generales. adem\u00e1s, cierra cuestiones que permanec\u00edan abiertas en relaci\u00f3n con el sistema de la elasticidad, dando una respuesta completa al problema, dependiendo de las tallas relativas entre los diversos par\u00e1metros.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Homogeneizaci\u00f3n de estructuras reticuladas: un m\u00e9todo multiescala<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Homogeneizaci\u00f3n de estructuras reticuladas: un m\u00e9todo multiescala <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Manuel Luna Laynez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 29\/05\/2003<\/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 Casado Diaz<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: enrique Fernandez cara <\/li>\n<li>enrique Zuazua iriondo (vocal)<\/li>\n<li>fran\u00ed\u00a7ois Murat (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 Manuel Luna Laynez En la memoria se introduce un nuevo m\u00e9todo para estudiar el comportamiento asint\u00f3tico de [&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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