467 citations · 2.6k across the 59 of their papers we have counts for
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Analysis of spectral methods for the homogeneous Boltzmann equation
Francis Filbet, Clément Mouhot
The development of accurate and fast algorithms for the Boltzmann collision integral and their analysis represent a challenging problem in scientific computing and numerical analys…
Rate of convergence to self-similarity for Smoluchowski's coagulation equation with constant coefficients
José Alfredo Cañizo, Stéphane Mischler, Clément Mouhot
We show that solutions to Smoluchowski's equation with a constant coagulation kernel and an initial datum with some regularity and exponentially decaying tail converge exponentiall…
Hypocoercivity for kinetic equations with linear relaxation terms
Jean Dolbeault, Clément Mouhot, Christian Schmeiser
This note is devoted to a simple method for proving hypocoercivity of the solutions of a kinetic equation involving a linear time relaxation operator, i.e. the construction of an a…
Fractional diffusion limit for collisional kinetic equations
Antoine Mellet, Stéphane Mischler, Clément Mouhot
This paper is devoted to diffusion limits of linear Boltzmann equations. When the equilibrium distribution function is Maxwellian distribution, it is well known that for an appropr…
Relaxation rate, diffusion approximation and Fick's law for inelastic scattering Boltzmann models
Bertrand Lods, Clément Mouhot, Giuseppe Toscani
We consider the linear dissipative Boltzmann equation describing inelastic interactions of particles with a fixed background. For the simplified model of Maxwell molecules first, w…