{"id":154698,"date":"2026-01-12T17:13:56","date_gmt":"2026-01-12T17:13:56","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/transformaciones-de-lie-backlun-representaciones-locales-y-aplicaciones-a-una-ecuacion-de-difusion\/"},"modified":"2026-01-12T17:13:56","modified_gmt":"2026-01-12T17:13:56","slug":"transformaciones-de-lie-backlun-representaciones-locales-y-aplicaciones-a-una-ecuacion-de-difusion","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/transformaciones-de-lie-backlun-representaciones-locales-y-aplicaciones-a-una-ecuacion-de-difusion\/","title":{"rendered":"Transformaciones de lie-backlun: representaciones locales y aplicaciones a una ecuacion de difusion."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Alejandro Perez Cuellar <\/strong><\/h2>\n<p>En primer lugar se estudian condiciones para que un grupo de lie actue linealmente sobre un espacio de funciones y se define una representacion de un grupo de transformaciones en los espacios funcionales l2 y de sobolev w2m, estableciendo criterios para que dicha representacion tenga determinadas caracteristicas.Utilizando la invarianza de una ecuacion funcional bajo una representacion de un grupo de transformaciones y tomando el caso concreto que se presenta al estudiar un proceso de difusion en un medio continuo en el que el coeficiente de difusion varia, se estudian las simetrias generalizadas admisibles por dicha ecuacion segun las distintas expresiones del coeficiente de difusion. Como caso particular de dichas simetrias se estudian los grupos de lie y las soluciones de similaridad correspondientes. Se estudian los coeficientes de difusion y se impone una condicion inicial definida por la delta de dirac, estudiando la solucion en este caso.  se incluyen programas \u00abmacsyma\u00bb y \u00abfortran\u00bb.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Transformaciones de lie-backlun: representaciones locales y aplicaciones a una ecuacion de difusion.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Transformaciones de lie-backlun: representaciones locales y aplicaciones a una ecuacion de difusion. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Alejandro Perez Cuellar <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 C\u00e1diz<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1991<\/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  Luis Romero Romero<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonino Garcia Rendon <\/li>\n<li> Pacheco Castelao Jos\u00e9 Manuel (vocal)<\/li>\n<li>Emilio Freire Mac\u00edas (vocal)<\/li>\n<li>Manuel Fernandez Andres (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alejandro Perez Cuellar En primer lugar se estudian condiciones para que un grupo de lie actue linealmente [&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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