Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system
classification
🧮 math-ph
math.APmath.MP
keywords
systemuniquenesscompactlyrelativisticsolutionssupportedvlasov-darwinweak
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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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