Add to ORKGInternational audienceWe study the long time asymptotics of a nonlinear, nonlocal equation used in the modelling of granular media. We prove a uniform exponential convergence to equilibrium for degenerately convex and non convex interaction or confinement potentials, improving in particular results by J. A. Carrillo, R. J. McCann and C. Villani. The method is based on studying the dissipation of the Wasserstein distance between a solution and the steady state
International audienceWe describe conditions on non-gradient drift diffusion Fokker-Planck equations...
We use here a particle system to prove a convergence result as well as a deviation inequality for...
We analyze under which conditions equilibration between two competing effects, repulsion modeled by ...
International audienceWe study the long time asymptotics of a nonlinear, nonlocal equation used in t...
International audienceWe use here a particle system to prove a convergence result as well as a devia...
We develop tools to construct Lyapunov functionals on the space of probability measures in order to ...
An algebraic decay rate is derived which bounds the time required for velocities to equilibrate in a...
We introduce a new interacting particle system to investigate the behavior of the nonlinear, non-loc...
We study the existence and long-time asymptotics of weak solutions to a system of two nonlinear drif...
The goal of the current paper is to provide information about the basins of attraction of the granul...
International audienceWe describe conditions on non-gradient drift diffusion Fokker-Planck equations...
We use here a particle system to prove a convergence result as well as a deviation inequality for...
We analyze under which conditions equilibration between two competing effects, repulsion modeled by ...
International audienceWe study the long time asymptotics of a nonlinear, nonlocal equation used in t...
International audienceWe use here a particle system to prove a convergence result as well as a devia...
We develop tools to construct Lyapunov functionals on the space of probability measures in order to ...
An algebraic decay rate is derived which bounds the time required for velocities to equilibrate in a...
We introduce a new interacting particle system to investigate the behavior of the nonlinear, non-loc...
We study the existence and long-time asymptotics of weak solutions to a system of two nonlinear drif...
The goal of the current paper is to provide information about the basins of attraction of the granul...
International audienceWe describe conditions on non-gradient drift diffusion Fokker-Planck equations...
We use here a particle system to prove a convergence result as well as a deviation inequality for...
We analyze under which conditions equilibration between two competing effects, repulsion modeled by ...