467 citations · 2.6k across the 59 of their papers we have counts for
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Celebrating Cercignani's conjecture for the Boltzmann equation
Laurent Desvillettes, Clément Mouhot, Cédric Villani
Cercignani's conjecture assumes a linear inequality between the entropy and entropy production functionals for Boltzmann's nonlinear integral operator in rarefied gas dynamics. Rel…
The Wigner-Fokker-Planck equation: Stationary states and large-time behavior
Anton Arnold, Irene M. Gamba, Maria Pia Gualdani +3
We consider the linear Wigner-Fokker-Planck equation subject to confining potentials which are smooth perturbations of the harmonic oscillator potential. For a certain class of per…
Factorization for non-symmetric operators and exponential H-theorem
Maria Pia Gualdani, Stéphane Mischler, Clément Mouhot
We present an abstract method for deriving decay estimates on the resolvents and semigroups of non-symmetric operators in Banach spaces in terms of estimates in another smaller ref…
Hypocoercivity for linear kinetic equations conserving mass
Jean Dolbeault, Clément Mouhot, Christian Schmeiser
We develop a new method for proving hypocoercivity for a large class of linear kinetic equations with only one conservation law. Local mass conservation is assumed at the level of…
Quantitative uniform in time chaos propagation for Boltzmann collision processes
Stéphane Mischler, Clément Mouhot
This paper is devoted to the study of mean-field limit for systems of indistinguables particles undergoing collision processes. As formulated by Kac \cite{Kac1956} this limit is ba…