Global classical solutions of the Vlasov-Darwin system for small initial data

Details Global classical solutions of the Vlasov-Darwin system for small initial data Global classical solutions of the Vlasov-Darwin system for small initial data

2008-02-27

arxiv.org/abs/0802.4030v1

Comm. Math. Sci, Vol. 6, Nr. 3, 749 -764, 2008

Physics

Mathematical Physics

Scientific paper

A global-in-time existence theorem for classical solutions of the
Vlasow-Darwin system is given under the assumption of smallness of the initial
data. Furthermore it is shown that in case of spherical symmetry the system
degenerates to the relativistic Vlasov-Poisson system.

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