论文标题

粒子法的收敛用于正则空间均匀的兰道方程

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

论文作者

Carrillo, José A., Delgadino, Matias G., Wu, Jeremy S. H.

论文摘要

我们研究了Landau方程的正则版本,该版本最近在〜\ cite {chww20}中引入,以合理的计算成本以良好的精度在数值上近似Landau方程。我们通过严格证明粒子近似对正则化的Landau方程的有效性来发展弱解的存在和唯一理论,并在〜\ cite {chww20}中加强了数值发现。

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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