Communications in Mathematical Sciences

Volume 13 (2015)

Number 2

A refined existence criterion for the relativistic Vlasov-Maxwell system

Pages: 347 – 354

DOI: https://dx.doi.org/10.4310/CMS.2015.v13.n2.a4

Author

Christophe Pallard (Laboratoire de Mathématiques, Université Paris-Sud, Orsay, France)

Abstract

We show that a smooth, compactly supported solution to the relativistic Vlasov-Maxwell system exists as long as the $L^6$ norm of the macroscopic density of particles remains bounded.

Keywords

collisionless plasma, relativistic Vlasov-Maxwell system

2010 Mathematics Subject Classification

35A01, 76X05, 82C40

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Published 3 December 2014