Homogenization of the 1D Vlasov-Maxwell equations

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Bostan, M. [1 ]
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[1] Laboratoire de Mathématiques de Besançon, CNRS, Université de Franche-Comté, 16 route de Gray, 25030 Besançon Cedex, France
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In this paper; we investigate the homogenization of the 1D 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. © The Author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved;
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页码:539 / 555
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