Rigorous derivation of the anelastic approximation

Nader Masmoudi

doi:10.1016/j.matpur.2007.06.001

Rigorous derivation of the anelastic approximation

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

Abstract

We give a rigorous derivation of the anelastic approximation starting from the compressible Navier-Stokes system when the Mach number and the Froude number go to zero with the same speed.

Original language	English (US)
Pages (from-to)	230-240
Number of pages	11
Journal	Journal des Mathematiques Pures et Appliquees
Volume	88
Issue number	3
DOIs	https://doi.org/10.1016/j.matpur.2007.06.001
State	Published - Sep 2007

Keywords

Anelastic approximation
Compressible-incompressible limit
Froude number
Mach number
Singular limit

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1016/j.matpur.2007.06.001

Cite this

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title = "Rigorous derivation of the anelastic approximation",

abstract = "We give a rigorous derivation of the anelastic approximation starting from the compressible Navier-Stokes system when the Mach number and the Froude number go to zero with the same speed.",

keywords = "Anelastic approximation, Compressible-incompressible limit, Froude number, Mach number, Singular limit",

author = "Nader Masmoudi",

note = "Funding Information: 1 The author is partially supported by an NSF-DMS Grant.",

year = "2007",

month = sep,

doi = "10.1016/j.matpur.2007.06.001",

language = "English (US)",

volume = "88",

pages = "230--240",

journal = "Journal des Mathematiques Pures et Appliquees",

issn = "0021-7824",

publisher = "Elsevier Masson s.r.l.",

number = "3",

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T1 - Rigorous derivation of the anelastic approximation

AU - Masmoudi, Nader

N1 - Funding Information: 1 The author is partially supported by an NSF-DMS Grant.

PY - 2007/9

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N2 - We give a rigorous derivation of the anelastic approximation starting from the compressible Navier-Stokes system when the Mach number and the Froude number go to zero with the same speed.

AB - We give a rigorous derivation of the anelastic approximation starting from the compressible Navier-Stokes system when the Mach number and the Froude number go to zero with the same speed.

KW - Anelastic approximation

KW - Compressible-incompressible limit

KW - Froude number

KW - Mach number

KW - Singular limit

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DO - 10.1016/j.matpur.2007.06.001

M3 - Article

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SN - 0021-7824

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SP - 230

EP - 240

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

IS - 3

ER -

Rigorous derivation of the anelastic approximation

Abstract

Keywords

ASJC Scopus subject areas

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