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Journal Articles Comptes rendus de l'Académie des sciences. Série I, Mathématique Year : 2011

Analytic solutions to a strongly nonlinear Vlasov equation

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Pierre-Emmanuel Jabin
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Anne Nouri

Abstract

We prove the existence for short times of analytic solutions to a Vlasov type equation. The corresponding model is one-dimensional but uses a quite singular force term which involves a full derivative in $x$ of the macroscopic density, making the existence of solutions a difficult question.

Dates and versions

hal-00719457 , version 1 (19-07-2012)

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Pierre-Emmanuel Jabin, Anne Nouri. Analytic solutions to a strongly nonlinear Vlasov equation. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2011, 349 (9-10), pp.541-546. ⟨10.1016/j.crma.2011.03.024⟩. ⟨hal-00719457⟩
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