Quantitative estimate of the overdamped limit for the Vlasov–Fokker–Planck systems

This note adapts a probabilistic approach to establish a quantified estimate of the overdamped limit for the Vlasov–Fokker–Planck equation towards the aggregation–diffusion equation, which in particular includes cases of the Newtonian type singular forces. The proofs are based on the investigation o...

Full description

Bibliographic Details
Main Author: Hui Huang
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818121000978