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arXiv · 0910.3956

On the energy conservation by weak solutions of the relativistic Vlasov-Maxwell system

Reinel Sospedra-Alfonso
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Abstract

We show that weak solutions of the relativistic Vlasov-Maxwell system preserve the total energy provided that the electromagnetic field is locally of bounded variation and, for any $λ$> 0, the one-particle distribution function has a square integrable $λ$-moment in the momentum variable.

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Reinel Sospedra-Alfonso. 2009-12-25. On the energy conservation by weak solutions of the relativistic Vlasov-Maxwell system. https://arxiv.org/abs/0910.3956

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