A toy model for the relativistic Vlasov-Maxwell system
Analysis of PDEs
2021-12-13 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2106.11399,
title = {A toy model for the relativistic Vlasov-Maxwell system},
author = {Jonathan Ben-Artzi and Stephen Pankavich and Junyong Zhang},
journal= {arXiv preprint arXiv:2106.11399},
year = {2021}
}
Comments
13 pages, final version for publication in KRM