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

DOI10.1007/s10440-012-9776-1zbMath1268.82010arXiv1107.4782OpenAlexW2140799120MaRDI QIDQ1947026

Reinel Sospedra-Alfonso, Martial Agueh, Reinhard Illner

Publication date: 11 April 2013

Published in: Archive for Rational Mechanics and Analysis, Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4782

zbMATH Keywords

uniqueness of solutionsspecial relativityoptimal transport methodVlasov-Darwin system

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Special relativity (83A05) PDEs in connection with relativity and gravitational theory (35Q75) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Motion of charged particles (78A35) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Vlasov equations (35Q83) Maxwell equations (35Q61)

Related Items (7)

On propagation of higher space regularity for nonlinear Vlasov equations ⋮ On global classical solutions of the three dimensional non-relativistic Vlasov-Darwin system ⋮ Global classical solutions and the classical limit of the non-relativistic Vlasov-Darwin system with small initial data ⋮ 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 ⋮ Unnamed Item ⋮ On global classical solutions of the three dimensional relativistic Vlasov-Darwin system

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