A toy model for the relativistic Vlasov-Maxwell system-Reference-Cited by-同舟云学术

A toy model for the relativistic Vlasov-Maxwell system

Published:2022 Issue:3 Volume:15 Page:341
ISSN:1937-5093
Container-title:Kinetic and Related Models
language:
Short-container-title:KRM

Author:

Ben-Artzi Jonathan¹,Pankavich Stephen²,Zhang Junyong³

Affiliation:

1. School of Mathematics, Cardiff University, Cardiff CF24 4AG, Wales, United Kingdom

2. Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, CO, USA

3. School of Mathematics, Beijing Institute of Technology, Beijing, China

Abstract

<p style='text-indent:20px;'>The global-in-time existence of classical solutions to the relativistic Vlasov-Maxwell (RVM) system in three space dimensions remains elusive after nearly four decades of mathematical research. In this note, a simplified "toy model" is presented and studied. This toy model retains one crucial aspect of the RVM system: the phase-space evolution of the distribution function is governed by a transport equation whose forcing term satisfies a wave equation with finite speed of propagation.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Modeling and Simulation,Numerical Analysis

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