Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system

Details Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system

2011-07-24

arxiv.org/abs/1107.4782v1

Physics

Mathematical Physics

AMS-LaTeX, 18 pages

Scientific paper

We use optimal transportation techniques to show uniqueness of the compactly
supported weak solutions of the relativistic Vlasov-Darwin system. Our proof
extends the method used by Loeper in J. Math. Pures Appl. 86, 68-79 (2006) to
obtain uniqueness results for the Vlasov-Poisson system.

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