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A stability result for the relativistic Vlasov-Maxwell system

โœ Scribed by Kai -Olaf Kruse; Gerhard Rein

Publisher
Springer
Year
1992
Tongue
English
Weight
780 KB
Volume
121
Category
Article
ISSN
0003-9527

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โœฆ Synopsis

We consider a space-periodic version of the relativistic Vlasov-Maxwell system describing a collisionless plasma consisting of electrons and positively charged ions. As our main result, we prove that certain spacially homogeneous stationary solutions are nonlinearly stable. To this end we also establish global existence of weak solutions to the corresponding initial value problem. Our investigation is motivated by a corresponding result for the Vlasov-Poisson system, cf. [1, 141.

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