Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Author "Briant, Marc"
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On the Boltzmann equation, quantitative studies and hydrodynamical limits
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsCambridge Centre for Analysis, 2014-11-11)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 ...
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On the Cauchy Problem for the Homogeneous Boltzmann-Nordheim Equation for Bosons: Local Existence, Uniqueness and Creation of Moments
(SpringerJournal of Statistical Physics, 2016)The Boltzmann-Nordheim equation is a modification of the Boltzmann equation, based on physical considerations, that describes the dynamics of the distribution of particles in a quantum gas composed of bosons or fermions. ...