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Finite speed propagation of the solutions for the relativistic Vlasov-Maxwell system

Mihai Bostan 1, 2
2 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : In this paper we investigate the continuous dependence with respect to the initial data of the solutions for the 1D and 1.5D relativistic Vlasov-Maxwell system. More precisely we prove that these solutions propagate with finite speed. We formulate our results in the framework of mild solutions, i.e., the particle densities are solutions by characteristics and the electro-magnetic fields are Lipschitz continuous functions.
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https://hal.inria.fr/inria-00120719
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Submitted on : Wednesday, February 20, 2008 - 9:16:43 PM
Last modification on : Friday, February 4, 2022 - 3:14:16 AM
Long-term archiving on: : Friday, November 25, 2016 - 8:07:51 PM

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  • HAL Id : inria-00120719, version 4

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Mihai Bostan. Finite speed propagation of the solutions for the relativistic Vlasov-Maxwell system. [Research Report] RR-6164, INRIA. 2006, pp.26. ⟨inria-00120719v4⟩

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