Large Friction-high Force Fields Limit for the Nonlinear Vlasov--Poisson--Fokker--Planck System
主讲人: Yingping Peng(Southwest Jiaotong University)
活动时间: 从 2021-12-29 15:15 到 17:00
场地: 线上
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.
Zoom ID: 861 0801 8420
Password:307780