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arXiv · 1406.1517

Yet another criterion for global existence in the 3D relativistic Vlasov-Maxwell system

Markus Kunze
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Abstract

We prove that solutions of the 3D relativistic Vlasov-Maxwell system can be extended, as long as the quantity $σ_{-1}(t, x) = \max_{|ω|=1} \,\int_{R^3} \frac{dp}{\sqrt{1+p^2}}\, \frac{1}{(1+v\cdotω)}\, f(t, x, p)$ is bounded in $L^2_x$.

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Markus Kunze. 2014-06-05. Yet another criterion for global existence in the 3D relativistic Vlasov-Maxwell system. https://arxiv.org/abs/1406.1517

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