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Measure-valued weak solutions to some kinetic equations with singular kernels for quantum particles
(2018-12-19)
In this thesis, we present a mathematical study of three problems arising in the kinetic theory of quantum gases.
In the first part, we consider a Boltzmann equation that is used to describe the time evolution of the ...
On a Boltzmann equation for Compton scattering, from non relativistic electrons at low density.
(2018-08-15)
A Boltzmann equation, used to describe the Compton scattering in the non-relativistic limit is considered. A truncation of the very singular redistribution function is introduced and justified. The existence of weak solutions ...
On a system of equations for the normal fluid - condensate interaction in a Bose gas
(2018-03-27)
The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of ...