L 1 averaging lemma for transport equations with Lipschitz force fields

Daniel Han-Kwan

doi:10.3934/krm.2010.3.669

L ¹ averaging lemma for transport equations with Lipschitz force fields

Daniel Han-Kwan

École Polytechnique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

The purpose of this note is to extend the L ¹ averaging lemma of Golse and Saint-Raymond [10] to the case of a kinetic transport equation with a force field F(x) ∈ W ^1,∞. To this end, we will prove a local in time mixing property for the transport equation ∂ _tf + v.▶ _xf + F.▶ _vf = 0.

langue originale	Anglais
Pages (de - à)	669-683
Nombre de pages	15
journal	Kinetic and Related Models
Volume	3
Numéro de publication	4
Les DOIs	https://doi.org/10.3934/krm.2010.3.669
état	Publié - 1 déc. 2010

Accès au document

10.3934/krm.2010.3.669

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Contient cette citation

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KW - L averaging lemma

KW - Local in time mixing estimate

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