47 research outputs found
Large friction-high force fields limit for the nonlinear Vlasov--Poisson--Fokker--Planck system
We provide a quantitative asymptotic analysis for the nonlinear
Vlasov--Poisson--Fokker--Planck system with a large linear friction force and
high force-fields. The limiting system is a diffusive model with nonlocal
velocity fields often referred to as aggregation-diffusion equations. We show
that a weak solution to the Vlasov--Poisson--Fokker--Planck system strongly
converges to a strong solution to the diffusive model. Our proof relies on the
modulated macroscopic kinetic energy estimate based on the weak-strong
uniqueness principle together with a careful analysis of the Poisson equation.Comment: 25 page