Moyennisation en vitesse dans L1 pour l'équation de transport

François Golse; Laure Saint-Raymond

doi:10.1016/S1631-073X(02)02302-6

Moyennisation en vitesse dans L¹ pour l'équation de transport

François Golse
, Laure Saint-Raymond

Lab. d'Analyse Numérique
Sorbonne Université

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

52 Citations (Scopus)

Résumé

A new result of L¹-compactness for velocity averages of solutions to the transport equation is stated and proved in this Note. This result, proved by a new interpolation argument, extends to the case of any space dimension Lemma 8 of Golse-Lions-Perthame-Sentis [J. Funct. Anal. 76 (1988) 110-125], proved there in space dimension 1 only. This is a key argument in the proof of the hydrodynamic limits of the Boltzmann or BGK equations to the incompressible Euler or Navier-Stokes equations.

Titre traduit de la contribution	Velocity averaging in L¹ for the transport equation
langue originale	Français
Pages (de - à)	557-562
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	334
Numéro de publication	7
Les DOIs	https://doi.org/10.1016/S1631-073X(02)02302-6
état	Publié - 15 avr. 2002

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10.1016/S1631-073X(02)02302-6

Contient cette citation

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abstract = "A new result of L1-compactness for velocity averages of solutions to the transport equation is stated and proved in this Note. This result, proved by a new interpolation argument, extends to the case of any space dimension Lemma 8 of Golse-Lions-Perthame-Sentis [J. Funct. Anal. 76 (1988) 110-125], proved there in space dimension 1 only. This is a key argument in the proof of the hydrodynamic limits of the Boltzmann or BGK equations to the incompressible Euler or Navier-Stokes equations.",

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Moyennisation en vitesse dans L1 pour l'équation de transport

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Moyennisation en vitesse dans L¹ pour l'équation de transport