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The Darwin Approximation of the Relativistic Vlasov-Maxwell System

Sebastian Bauer·Markus Kunze
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Abstract

We study the relativistic Vlasov-Maxwell system which describes large systems of particles interacting by means of their collectively generated forces. If the speed of light $c$ is considered as a parameter then it is known that in the Newtonian limit $c\to\infty$ the Vlasov-Poisson system is obtained. In this paper we determine the next order approximate system, which in the case of individual particles usually is called the Darwin approximation.

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Sebastian Bauer, Markus Kunze. 2004-01-07. The Darwin Approximation of the Relativistic Vlasov-Maxwell System. https://doi.org/10.1007/s00023-005-0207-y

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