467 citations · 2.6k across the 59 of their papers we have counts for
5 papers · 1 filter
Long time behavior in locally activated random walks
Nicolas Meunier, Clément Mouhot, Raphaël Roux
We consider a 1-dimensional Brownian motion whose diffusion coefficient varies when it crosses the origin. We study the long time behavior and we establish different regimes, depen…
Approach to the steady state in kinetic models with thermal reservoirs at different temperatures
Eric A. Carlen, Raffaelle Esposito, Joel L. Lebowitz +2
We continue the investigation of kinetic models of a system in contact via stochastic interactions with several spatially homogeneous thermal reservoirs at different temperatures.…
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…