Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system
Mathematical Physics
2012-09-04 v2 Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1107.4782,
title = {Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system},
author = {Reinel Sospedra-Alfonso and Martial Agueh},
journal= {arXiv preprint arXiv:1107.4782},
year = {2012}
}
Comments
AMS-LaTeX, 21 pages