Convergence of a particle method for a regularized spatially homogeneous Landau equation-Reference-Cited by-同舟云学术

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

Published:2023-03-28 Issue:05 Volume:33 Page:971-1008
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Carrillo José A.¹,Delgadino Matias G.²,Wu Jeremy S. H.³

Affiliation:

1. Mathematical Institute, University of Oxford, Andrew Wiles Building, Woodstock Road, Oxford OX2 6GG, UK

2. Department of Mathematics, The University of Texas at Austin, 2515 Speedway, PMA 8.100 Austin, Texas 78712, USA

3. Mathematical Sciences Building, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, California 90095, USA

Abstract

We study a regularized version of the Landau equation, which was recently introduced in [J. A. Carrillo, J. Hu, L. Wang and J. Wu, A particle method for the homogeneous Landau equation, J. Comput. Phys. X 7 (2020) 100066, 24] 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 the above-mentioned paper by rigorously proving the validity of particle approximations to the regularized Landau equation.

Funder

European Union's Horizon 2020 research and innovation programme

EPSRC

NSF

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202523500215

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