On the Boltzmann equation, quantitative studies and hydrodynamical limits
University of Cambridge
Department of Pure Mathematics and Mathematical Statistics
Cambridge Centre for Analysis
Doctor of Philosophy (PhD)
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Briant, M. (2014). On the Boltzmann equation, quantitative studies and hydrodynamical limits (Doctoral thesis). https://doi.org/10.17863/CAM.16234
A revised version of this thesis, correcting typing errors in the pages indexes and the bibliography, replaced the original version on 17 June 2015
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.
Boltzmann equation, Hydrodynamical limit, Boltzmann-Nordheim equation
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.
This record's DOI: https://doi.org/10.17863/CAM.16234
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