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Renormalized Solutions to the Vlasov Equation with Coefficients of Bounded Variation

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Abstract:

We prove that weak bounded solutions to the Vlasov equation with BV coefficients have the renormalization property, and we show that when the renormalization property holds for a general transport equation, it also holds for only Lipschitz nonlinearities.

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  1. Département de Mathématiques et Applications¶Ecole Normale Supérieure et CNRS, UMR 8553¶45, rue d'Ulm¶75230 Paris cedex 05, France¶e-mail: Francois.Bouchut@ens.fr, , , , , , FR

    François Bouchut

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  1. François Bouchut
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Accepted December 1, 2000¶Published online March 7, 2001

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Bouchut, F. Renormalized Solutions to the Vlasov Equation with Coefficients of Bounded Variation. Arch. Rational Mech. Anal. 157, 75–90 (2001). https://doi.org/10.1007/PL00004237

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  • DOI: https://doi.org/10.1007/PL00004237

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