A refined existence criterion for the relativistic Vlasov-Maxwell system

Christophe Pallard

Type: Article

Publication Date: 2014-12-03

Citations: 17

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

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.

Locations

Communications in Mathematical Sciences - View - PDF

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+	Large velocities in the relativistic Vlasov-Maxwell equations	1989	Robert T. Glassey Walter A. Strauss
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+	The "Two and One-Half Dimensional" Relativistic Vlasov Maxwell System	1997	Robert T. Glassey Jack Schaeffer
+	Singularity formation in a collisionless plasma could occur only at high velocities	1986	Robert T. Glassey Walter A. Strauss