Convergence of a particle method for a regularized spatially homogeneous Landau equation

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED

Mathematical Models & Methods in Applied Sciences Pub Date : 2022-11-13 DOI:10.1142/s0218202523500215

J. Carrillo, M. Delgadino, Jeremy Wu

引用次数: 1

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.

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正则化空间齐次Landau方程的粒子方法的收敛性

我们研究了朗道方程的正则化版本，该版本最近在~\cite{CHWW20}中引入，以在合理的计算成本下以良好的精度对朗道方程进行数值近似。我们发展了弱解的存在唯一性理论，并通过严格证明正则化Landau方程的粒子近似的有效性，加强了~\cite{CHWW20}中的数值发现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

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