Global Existence and Fast-Reaction Limit in Reaction-Diffusion Systems with Cross Effects

This thesis is devoted to the study of reaction-diffusion systems arising in population dynamics, chemistry and electromigration theory. We investigate global existence issues for strong and weak solutions, uniqueness, regularity, and study the fast reaction limit for systems from massaction kine...

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Bibliographic Details
Main Author: Guillaume, Rolland
Format: Others
Language:German
en
Published: 2012
Online Access:http://tuprints.ulb.tu-darmstadt.de/3626/7/these-1.pdf
Guillaume, Rolland <http://tuprints.ulb.tu-darmstadt.de/view/person/Guillaume=3ARolland=3A=3A.html> : Global Existence and Fast-Reaction Limit in Reaction-Diffusion Systems with Cross Effects. Technische Universität, Darmstadt [Ph.D. Thesis], (2012)
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Summary:This thesis is devoted to the study of reaction-diffusion systems arising in population dynamics, chemistry and electromigration theory. We investigate global existence issues for strong and weak solutions, uniqueness, regularity, and study the fast reaction limit for systems from massaction kinetics chemistry. In this introduction, we first present the kind of evolution systems we are interested in. Next, we give the outline of this work and explain how the results will be presented in three different chapters. Finally, we describe in more detail the main results of each chapter.