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

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	669-683
Number of pages	15
Journal	Kinetic and Related Models
Volume	3
Issue number	4
DOIs	https://doi.org/10.3934/krm.2010.3.669
Publication status	Published - 1 Dec 2010

Keywords

External force field
L averaging lemma
Local in time mixing estimate

Access to Document

10.3934/krm.2010.3.669

Cite this

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KW - L averaging lemma

KW - Local in time mixing estimate

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