Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/6583

 Title: A mathematical theory of isolated systems in relativistic plasma physics Author(s): Calogero, Simone Carmelo Keywords: Vlasov-maxwellInitial valueIncoming radiationIsolated solutionsProblem hyperboloidisolated solutioninitial value problembackward hyperboloidoutgoing radiation Issue date: Jun-2007 Publisher: World Scientific Publishing Journal: Journal of hyperbolic differential equations Citation: "Journal of hyperbolic differential equations". ISSN 0219-8916. 4:2 (June 2007) 267-294. Abstract(s): The existence and the properties of isolated solutions to the relativistic Vlasov-Maxwell system with initial data on the backward hyperboloid $t=-\sqrt{1+|x|^2}$ are investigated. Isolated solutions of Vlasov-Maxwell can be defined by the condition that the particle density is compactly supported on the initial hyperboloid and by imposing the absence of incoming radiation on the electromagnetic field. Various consequences of the mass-energy conservation laws are derived by assuming the existence of smooth isolated solutions which match the inital data. In particular, it is shown that the mass-energy of isolated solutions on the backward hyperboloids and on the surfaces of constant proper time are preserved and equal, while the mass-energy on the forward hyperboloids is non-increasing and uniformly bounded by the mass-energy on the initial hyperboloid. Moreover the global existence and uniqueness of classical solutions in the future of the initial surface is established for the one dimensional version of the system. Type: Article URI: http://hdl.handle.net/1822/6583 ISSN: 0219-8916 Publisher version: http://www.worldscinet.com Peer-Reviewed: yes Access: Open access Appears in Collections: Offmath - Artigos (Papers)

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