Convergence of a particle method for a regularized spatially homogeneous Landau equation
Analysis of PDEs
2022-11-15 v1 Mathematical Physics
math.MP
Abstract
We study a regularized version of the Landau equation, which was recently introduced in~\cite{CHWW20} to numerically approximate the Landau equation with good accuracy at reasonable computational cost. We develop the existence and uniqueness theory for weak solutions, and we reinforce the numerical findings in~\cite{CHWW20} by rigorously proving the validity of particle approximations to the regularized Landau equation.
Keywords
Cite
@article{arxiv.2211.07015,
title = {Convergence of a particle method for a regularized spatially homogeneous Landau equation},
author = {José A. Carrillo and Matias G. Delgadino and Jeremy S. H. Wu},
journal= {arXiv preprint arXiv:2211.07015},
year = {2022}
}
Comments
25 pages (+10 for appendix and references)