A toy model for the relativistic Vlasov-Maxwell system

Ben-Artzi, Jonathan ORCID: https://orcid.org/0000-0001-6184-9313, Pankavich, Stephen and Zhang, Junyong 2022. A toy model for the relativistic Vlasov-Maxwell system. Kinetic and Related Models 15 (3) , pp. 341-354. 10.3934/krm.2021053

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	American Institute of Mathematical Sciences (AIMS)
ISSN:	1937-5093
Funders:	EPSRC
Date of First Compliant Deposit:	10 December 2021
Date of Acceptance:	2 December 2021
Last Modified:	17 Nov 2023 09:55
URI:	https://orca.cardiff.ac.uk/id/eprint/145997

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