Global weak solutions to the relativistic Vlasov-Maxwell system revisited

Details Global weak solutions to the relativistic Vlasov-Maxwell system revisited Global weak solutions to the relativistic Vlasov-Maxwell system revisited

2004-03-02

arxiv.org/abs/math-ph/0403002v2

Comm. Math. Sci., Vol. 2, No. 2, pp. 145-158 (2004)

Physics

Mathematical Physics

16 pages, LaTeX

Scientific paper

In 1989, R. DiPerna and P.-L. Lions established the existence of global weak solutions to the Vlasov-Maxwell system. In the present notes we give a somewhat simplified proof of this result for the relativistic version of this system, the main purpose being to make this important result of kinetic theory more easily accessible to newcomers in the field. We show that the weak solutions preserve the total charge.

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