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dc.contributor.advisorCalogero, Simonees_ES
dc.contributor.authorAlcántara Félix, José Antonioes_ES
dc.contributor.otherUniversidad de Granada. Programa Oficial de Doctorado en: Física y Matemáticases_ES
dc.identifier.citationAlcántara Félix, J. A. A relativistic diffusion model in kinetic theory. Granada: Universidad de Granada, 2016. []es_ES
dc.description.abstractThe main objective of this dissertation is the analysis of solutions to a class of linear and non-linear parabolic partial differential equations (PDEs) in phase space for dimensions greater or equal than three. In particular, these equations can be used to describe diffusion dynamics in a relativistic setting. This study is motivated not only by the vast range of applications of diffusion models, but also by the still poor understanding of the mathematical techniques involved in this study. In fact, the diffusion term in the models to be considered is non-uniformly elliptic and spatially degenerate, i.e., some spatial derivatives are absent in the diffusion operator. Moreover, for some of the models studied in this thesis, the coefficients of the diffusion equation depend on the time variable. These properties distinguish the models under discussion from the other diffusion models studied in the literature and warn that the standard techniques for parabolic PDEs might not apply to our framework.es_ES
dc.description.sponsorshipTesis Univ. Granada. Programa Oficial de Doctorado en: Física y Matemáticases_ES
dc.publisherUniversidad de Granadaes_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Licenseen_US
dc.subjectEcuaciones diferenciales en derivadas parcialeses_ES
dc.subjectTeoría de la relatividades_ES
dc.subjectAmplitud de dispersión (Física nuclear)es_ES
dc.subjectFísica estadística es_ES
dc.subjectTeoría cuánticaes_ES
dc.subjectTeoría cinética de la materiaes_ES
dc.titleA relativistic diffusion model in kinetic theoryen_EN
europeana.dataProviderUniversidad de Granada. España.es_ES

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