Low Mach number flows and combustion

Thomas Alazard

doi:10.1137/050644100

Low Mach number flows and combustion

Thomas Alazard

Univ. Bordeaux

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

31 Citations (Scopus)

Résumé

We prove uniform existence results for the full Navier-Stokes equations for time intervals which are independent of the Mach number, the Reynolds number, and the Péclet number. We consider general equations of state and give an application for the low Mach number limit combustion problem introduced by Majda in [Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Springer-Verlag, New York, 1984].

langue originale	Anglais
Pages (de - à)	1186-1213
Nombre de pages	28
journal	SIAM Journal on Mathematical Analysis
Volume	38
Numéro de publication	4
Les DOIs	https://doi.org/10.1137/050644100
état	Publié - 1 déc. 2006
Modification externe	Oui

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10.1137/050644100

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title = "Low Mach number flows and combustion",

abstract = "We prove uniform existence results for the full Navier-Stokes equations for time intervals which are independent of the Mach number, the Reynolds number, and the P{\'e}clet number. We consider general equations of state and give an application for the low Mach number limit combustion problem introduced by Majda in [Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Springer-Verlag, New York, 1984].",

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AU - Alazard, Thomas

PY - 2006/12/1

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N2 - We prove uniform existence results for the full Navier-Stokes equations for time intervals which are independent of the Mach number, the Reynolds number, and the Péclet number. We consider general equations of state and give an application for the low Mach number limit combustion problem introduced by Majda in [Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Springer-Verlag, New York, 1984].

AB - We prove uniform existence results for the full Navier-Stokes equations for time intervals which are independent of the Mach number, the Reynolds number, and the Péclet number. We consider general equations of state and give an application for the low Mach number limit combustion problem introduced by Majda in [Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Springer-Verlag, New York, 1984].

KW - Combustion equation

KW - Low Mach limit

KW - Uniform stability

U2 - 10.1137/050644100

DO - 10.1137/050644100

M3 - Article

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

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Low Mach number flows and combustion

Résumé

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