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Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system
Vlasov-Darwin weak solutions uniqueness optimal transportation
2011/9/20
Abstract: 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...
Global Classical Solutions of the Relativistic Vlasov-Darwin System with Small Cauchy Data: the Generalized Variables Approach
Vlasov-Darwin Cauchy Problem Global Classical Solutions
2011/8/25
Abstract: We show that a smooth, small enough Cauchy datum launches a unique classical solution of the relativistic Vlasov-Darwin (RVD) system globally in time. A similar result is claimed in Comm. Ma...