{"id":75560,"date":"2005-08-07T00:00:00","date_gmt":"2005-08-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estudio-matematico-y-numerico-del-modelo-de-reynolds-koiter-y-de-los-modelos-tribologicos-en-lectura-magnetica\/"},"modified":"2005-08-07T00:00:00","modified_gmt":"2005-08-07T00:00:00","slug":"estudio-matematico-y-numerico-del-modelo-de-reynolds-koiter-y-de-los-modelos-tribologicos-en-lectura-magnetica","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estudio-matematico-y-numerico-del-modelo-de-reynolds-koiter-y-de-los-modelos-tribologicos-en-lectura-magnetica\/","title":{"rendered":"Estudio matem\u00e1tico y num\u00e9rico del modelo de reynolds koiter y de los modelos tribol\u00f3gicos en lectura magn\u00e9tica."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Cend\u00e1n Verdes Jos\u00e9 Jes\u00fas <\/strong><\/h2>\n<p>El objetivo de la memoria es realizar algunas contribuciones originales al modelado matem\u00e1tico, mediante sistemas de ecuaciones en derivadas parciales no lineales, de dos tipos de dispositivos: ejecojinete y lectura magn\u00e9tica, aportando resultados de existencia de soluci\u00f3n para los modelos, y t\u00e9cnicas num\u00e9ricas eficientes para la simulaci\u00f3n de casos reales.  en la primera parte de la tesis se plantea un problema elastohidrodin\u00e1mico original basado en el modelo de elrod-adams, que gobierna la presi\u00f3n y la saturaci\u00f3n del fluido, y en un modelo de koiter para l\u00e1minas delgadas, que gobierna la deformaci\u00f3n del cojinete el\u00e1stico. La originalidad fundamental, con respecto a trabajos previos, proviene de la incorporaci\u00f3n del modelo de koiter en la parte el\u00e1stica, que se justifica para tener en cuenta los efectos de curvatura asociados a la geometr\u00eda cil\u00edndrica del cojinete. se obtiene un resultado de existencia de soluci\u00f3n, mediante un teorema de punto fijo de schauder, cuya demostraci\u00f3n presenta tres dificultades fundamentales: el car\u00e1cter acoplado de las ecuaciones, el operador no lineal mult\u00edvoco asociado al modelo de elrod&#8211;adams y el planteamiento de los problemas el\u00e1stico e hidrodin\u00e1mico en dos dominios diferentes.  se propone un algoritmo iterativo para aproximar la soluci\u00f3n del modelo matem\u00e1tico basado en los pasos de la demostraci\u00f3n de existencia de soluci\u00f3n. las principales t\u00e9cnicas num\u00e9ricas son: un proceso iterativo entre la resoluci\u00f3n del subproblema el\u00e1stico e hidrodin\u00e1mico, el m\u00e9todo de las caracter\u00edsticas combinado con el algoritmo de dualidad para tratar el t\u00e9rmino convectivo no lineal, la discretizaci\u00f3n espacial con elementos finitos de lagrange p_1 para la parte hidrodin\u00e1mica, una formulaci\u00f3n mixta para el modelo de koiter, la discretizaci\u00f3n espacial con elementos finitos p_1 con burbuja para la aproximaci\u00f3n de la rotaci\u00f3n de la normal y los desplazamientos tangenciales para la parte el\u00e1<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estudio matem\u00e1tico y num\u00e9rico del modelo de reynolds koiter y de los modelos tribol\u00f3gicos en lectura magn\u00e9tica.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estudio matem\u00e1tico y num\u00e9rico del modelo de reynolds koiter y de los modelos tribol\u00f3gicos en lectura magn\u00e9tica. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Cend\u00e1n Verdes Jos\u00e9 Jes\u00fas <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Vigo<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 08\/07\/2005<\/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>Carlos V\u00e1zquez Cend\u00f3n<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jos\u00e9 Durany castrillo <\/li>\n<li>gustavo Buscaglia (vocal)<\/li>\n<li> Tello del castillo Jos\u00e9 igancio (vocal)<\/li>\n<li>  (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Cend\u00e1n Verdes Jos\u00e9 Jes\u00fas El objetivo de la memoria es realizar algunas contribuciones originales al modelado matem\u00e1tico, [&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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