Communications in Mathematical Sciences

Volume 6 (2008)

Number 3

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

Pages: 749 – 764

DOI: http://dx.doi.org/10.4310/CMS.2008.v6.n3.a11

Author

Martin Seehafer

Abstract

A global-in-time existence theorem for classical solutions of the Vlasov-Darwin sys- tem 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.

Keywords

Relativistic Vlasov-Darwin system; global classical solutions; collisionless plasma

2010 Mathematics Subject Classification

35F20, 82D10

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