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 we...

Full description

Bibliographic Details
Main Authors: Carrillo, JA, Choi, Y-P, Peng, Y
Format: Journal article
Language:English
Published: American Institute of Mathematical Sciences 2021