Averaging Lemmas and Dispersion Estimates for kinetic equations

Pierre-Emmanuel Jabin 1, 2
1 TOSCA
INRIA Lorraine, CRISAM - Inria Sophia Antipolis - Méditerranée , UHP - Université Henri Poincaré - Nancy 1, Université Nancy 2, INPL - Institut National Polytechnique de Lorraine, CNRS - Centre National de la Recherche Scientifique : UMR7502
Abstract : Averaging lemmas consist in a regularizing effect on the average of the solution to a linear kinetic equation. Some of the main results are reviewed and their proofs presented in as self contained a way as possible. The use of kinetic formulations for the well posedness of scalar conservation laws is eventually explained as an example of application.
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Submitted on : Tuesday, June 21, 2011 - 10:04:32 AM
Last modification on : Friday, January 12, 2018 - 2:00:23 AM

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  • HAL Id : hal-00601944, version 1

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Pierre-Emmanuel Jabin. Averaging Lemmas and Dispersion Estimates for kinetic equations. Rivista di Matematica della Università di Parma, 2009, 8 (1), pp.71-138. ⟨hal-00601944⟩

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