On a characteristic initial value problem in Plasma physics

Details On a characteristic initial value problem in Plasma physics On a characteristic initial value problem in Plasma physics

2005-03-15

arxiv.org/abs/math-ph/0503038v2

Ann. Henri Poincar\'e 7, 233--252 (2006)

Physics

Mathematical Physics

16 pages. Version in press

Scientific paper

10.1007/s00023-005-0248-2

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.

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