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arXiv:1209.3212 [math.AP]AbstractReferencesReviewsResources

From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov

Daniel Han-Kwan

Published 2012-09-14Version 1

We introduce a long wave scaling for the Vlasov-Poisson equation and derive, in the cold ions limit, the Korteweg-De Vries equation (in 1D) and the Zakharov-Kuznetsov equation (in higher dimensions, in the presence of an external magnetic field). The proofs are based on the relative entropy method.

Categories: math.AP, math-ph, math.MP
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