La limite de Navier-Stokes pour l'équation de Boltzmann

François Golse; Laure Saint-Raymond

doi:10.1016/S0764-4442(01)02136-X

La limite de Navier-Stokes pour l'équation de Boltzmann

François Golse
, Laure Saint-Raymond

Sorbonne Université

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

Résumé

Appropriately scaled families of DiPerna-Lions renormalized solutions of the Boltzmann equation are shown to have fluctuations whose limit points (in the weak L¹ topology) are governed by a Leray solution of the limiting Navier-Stokes equations. This completes the arguments in Bardos-Golse-Levermore [Commun. on Pure and Appl. Math. 46 (5) (1993) 667-753] for the steady case, extended by Lions-Masmoudi [Arch. Ration. Mech. Anal. 158 (3) (2001) 173-193] to the time-dependent case.

Titre traduit de la contribution	The Navier-Stokes limit for the Boltzmann equation
langue originale	Français
Pages (de - à)	897-902
Nombre de pages	6
journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	333
Numéro de publication	9
Les DOIs	https://doi.org/10.1016/S0764-4442(01)02136-X
état	Publié - 1 nov. 2001

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10.1016/S0764-4442(01)02136-X

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AB - Appropriately scaled families of DiPerna-Lions renormalized solutions of the Boltzmann equation are shown to have fluctuations whose limit points (in the weak L1 topology) are governed by a Leray solution of the limiting Navier-Stokes equations. This completes the arguments in Bardos-Golse-Levermore [Commun. on Pure and Appl. Math. 46 (5) (1993) 667-753] for the steady case, extended by Lions-Masmoudi [Arch. Ration. Mech. Anal. 158 (3) (2001) 173-193] to the time-dependent case.

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La limite de Navier-Stokes pour l'équation de Boltzmann

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