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Homogenization of the 1D Vlasov-Maxwell equations

Mihai Bostan 1, 2
1 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 homogenization of the one dimensional Vlasov-Maxwell system. We indicate the rate of convergence towards the limit solution. In the non relativistic case we compute explicitly the limit solution. The theoretical results are illustrated by some numerical simulations.
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https://hal.inria.fr/inria-00120720
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Submitted on : Wednesday, February 20, 2008 - 9:20:35 PM
Last modification on : Thursday, February 3, 2022 - 11:16:31 AM
Long-term archiving on: : Friday, November 25, 2016 - 8:03:33 PM

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  • HAL Id : inria-00120720, version 4

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Mihai Bostan. Homogenization of the 1D Vlasov-Maxwell equations. [Research Report] RR-6086, INRIA. 2006, pp.19. ⟨inria-00120720v4⟩

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