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arXiv · 2211.07015

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

José A. Carrillo·Matias G. Delgadino·Jeremy S. H. Wu
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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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José A. Carrillo, Matias G. Delgadino, Jeremy S. H. Wu. 2022-11-13. Convergence of a particle method for a regularized spatially homogeneous Landau equation. https://arxiv.org/abs/2211.07015

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