We prove the convergence in any time interval of a point-particle approximation of the
Vlasov equation by particles initially equally separated for a force in 1/| x| α, with α\leqq 1 …

We consider a N-particle system interacting through the Newtonian potential with a
polynomial cut-off in the presence of noise in velocity. We rigorously prove the propagation …

We rigorously justify the mean-field limit of an N-particle system subject to Brownian motions
and interacting through the Newtonian potential in R^ 3 R 3. Our result leads to a derivation …

We study the diffusion limit of the Vlasov-Poisson-Fokker-Planck System. Here, we
generalize the local in time results and the two dimensional results of Poupaud-Soler and of …

We establish a quantified overdamped limit for kinetic Vlasov–Fokker–Planck equations with
nonlocal interaction forces. We provide explicit bounds on the error between solutions of that …

We set up and analyze a model of radiation damping within the framework of continuum
mechanics, inspired by a model of post-Newtonian hydrodynamics due to Blanchet, Damour …

We prove stability estimates and derive optimal convergence rates for the streamline
diffusion and discontinuous Galerkin finite element methods for discretization of the multi …

In this manuscript, we consider the Cauchy problem of the relativistic Vlasov–Poisson–
Fokker–Planck system in the whole space. The global existence and the exponential time …

We derive the hydrodynamic limit of a kinetic equation where the interactions in velocity are
modeled by a linear operator (Fokker–Planck or linear Boltzmann) and the force in the …

In this manuscript, we consider two kinds of the Fokker-Planck-type systems in the whole
space. The first part involves proving the global existence and the algebraic time decay rates …