Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system
arXiv:1107.4782 · doi:10.1007/s00205-012-0518-3
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 J. Math. Pures Appl. 86, 68-79 (2006) to obtain uniqueness results for the Vlasov-Poisson system.
AMS-LaTeX, 21 pages
References in corpus (3)
- On classical solutions to the 3D relativistic Vlasov-Maxwell system: Glassey-Strauss' theorem revisited
- Global Classical Solutions of the Relativistic Vlasov-Darwin System with Small Cauchy Data: the Generalized Variables Approach
- Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system
Cited by in corpus (4)
- Global Classical Solutions of the Relativistic Vlasov-Darwin System with Small Cauchy Data: the Generalized Variables Approach
- Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system
- Long time estimates for the Vlasov-Maxwell system in the non-relativistic limit
- On propagation of higher space regularity for non-linear Vlasov equations