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TitleOn a characteristic initial value problem in plasma physics
Author(s)Calogero, Simone Carmelo
Initial value problem
Issue dateMar-2006
JournalAnnales Henri Poincaré: A Journal of Theoretical and Mathematical Physics
Citation"Annales Henri Poincaré". ISSN 1424-0637. 7:2 (2006) 233-252.
Abstract(s)The relativistic Vlasov-Maxwell system of plasma physics is considered with initial data on a past light cone. This characteristic initial value problem arises in a natural way as a mathematical framework to study the existence of solutions isolated from incoming radiation. Various consequences of the mass-energy conservation and of the absence of incoming radiation condition are first derived assuming the existence of global smooth solutions. In the spherically symmetric case, the existence of a unique classical solution in the future of the initial cone follows by arguments similar to the case of initial data at time $t=0$. The total mass-energy of spherically symmetric solutions equals the (properly defined) mass-energy on backward and forward light cones.
Publisher versionThe original publication is available at
AccessOpen access
Appears in Collections:Offmath - Artigos (Papers)

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