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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/43314

Title: A relativistic diffusion model in kinetic theory
Authors: Alcántara Félix, José Antonio
Direction: Calogero, Simone
Collaborator: Universidad de Granada. Programa Oficial de Doctorado en: Física y Matemáticas
Issue Date: 2016
Submitted Date: 28-Jan-2016
Abstract: The 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.
Sponsorship: Tesis Univ. Granada. Programa Oficial de Doctorado en: Física y Matemáticas
Publisher: Universidad de Granada
Keywords: Ecuaciones diferenciales en derivadas parciales
Teoría de la relatividad
Amplitud de dispersión (Física nuclear)
Física estadística
Teoría cuántica
Teoría cinética de la materia
UDC: 530.1
2200
URI: http://hdl.handle.net/10481/43314
ISBN: 9788491256816
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: Alcántara Félix, J. A. A relativistic diffusion model in kinetic theory. Granada: Universidad de Granada, 2016. [http://hdl.handle.net/10481/43314]
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