467 citations · 2.6k across the 59 of their papers we have counts for
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Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
F Golse, Cyril Imbert, Clément Mouhot +1
We extend the De Giorgi--Nash--Moser theory to a class of kinetic Fokker-Planck equations and deduce new results on the Landau-Coulomb equation. More precisely, we first study the…
Exponential decay to equilibrium for a fibre lay-down process on a moving conveyor belt
Emeric Bouin, Franca Hoffmann, Clément Mouhot
We show existence and uniqueness of a stationary state for a kinetic Fokker-Planck equation modelling the fibre lay-down process in the production of non-woven textiles. Following…
Landau damping in finite regularity for unconfined systems with screened interactions
Jacob Bedrossian, Nader Masmoudi, Clement Mouhot
We prove Landau damping for the collisionless Vlasov equation with a class of interaction potentials (including the physical case of screened Coulomb interactions) on $\mathb…