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math.NA2024
To blow-up or not to blow-up for a granular kinetic equation
José A. Carrillo, Ruiwen Shu, Li Wang +1
A simplified kinetic description of rapid granular media leads to a nonlocal Vlasov-type equation with a convolution integral operator that is of the same form as the continuity eq…
math.NA2021
An asymptotic preserving scheme for Lévy-Fokker-Planck equation with fractional diffusion limit
Wuzhe Xu, Li Wang
In this paper, we develop a numerical method for the Lévy-Fokker-Planck equation with the fractional diffusive scaling. There are two main challenges. One comes from a two-fold non…
math.NA2020
Variational Asymptotic Preserving Scheme for the Vlasov-Poisson-Fokker-Planck System
Jose A. Carrillo, Li Wang, Wuzhe Xu +1
We design a variational asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system with the high field scaling, which describes the Brownian motion of a large system…