On the Boltzmann equation, quantitative studies and hydrodynamical limits
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Authors
Briant, Marc
Abstract
The present thesis deals with the mathematical treatment of kinetic theory and focuses more precisely on the Boltzmann equation. We investigate several properties of the solutions to the latter equation: their positivity and their hydrodynamical limits for instance. We also study the local Cauchy problem for a quantic version of the Boltzmann equation.
Description
A revised version of this thesis, correcting typing errors in the pages indexes and the bibliography, replaced the original version on 17 June 2015
Date
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Keywords
Boltzmann equation, Hydrodynamical limit, Boltzmann-Nordheim equation
Qualification
Doctor of Philosophy (PhD)
Awarding Institution
University of Cambridge
Rights
Sponsorship
This work was supported by the UK Engineering and Physical Sciences Research
Council (EPSRC) grant EP/H023348/1 for the University of Cambridge Centre for
Doctoral Training, the Cambridge Centre for Analysis.