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Incompressible limit of compressible Navier-Stokes equations

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Abstract

In this paper we study the system which describes the motion of compressible viscous fluid in a bounded domain {Omega} of R{sup 3}. When we introduce a parameter {lambda}, that is the inverse of the Mach number, we prove, under small initial data and external force (for barotropic flows), that the solution of Navier-Stokes equations is the incompressible limit of the solution of compressible Navier-Stokes equations, as the Mach number becomes small. For this, we show the existence of a solution verifying estimates independent of {lambda}. Compactness argument allow us to pass to the limit on {lambda} in the nonlinear terms. (author). 17 refs.
Authors:
Bessaih, H [1] 
  1. Institut de Mathematiques El-Alia, Algiers (Algeria)
Publication Date:
Dec 31, 1994
Product Type:
Conference
Report Number:
CONF-9305414-
Reference Number:
SCA: 420400; PA: AIX-26:059777; EDB-95:131268; SN: 95001462276
Resource Relation:
Conference: Workshop on qualitative aspects and applications of nonlinear evolution equations, Trieste (Italy), 3-14 May 1993; Other Information: PBD: 1994; Related Information: Is Part Of Qualitative aspects and applications of nonlinear evolution equations. Proceeding of the workshop; Beirao da Veiga, H. [ed.] [Pisa Univ. (Italy)]; Li Tatsien [ed.] [Fudan Univ., Shanghai, SH (China)]; PB: 224 p.
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; COMPRESSIBLE FLOW; NAVIER-STOKES EQUATIONS; VISCOUS FLOW; BOUNDARY CONDITIONS; INCOMPRESSIBLE FLOW; MACH NUMBER
OSTI ID:
101401
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ISBN 981-02-1708-0; TRN: XA9539730059777
Submitting Site:
INIS
Size:
pp. 125-129
Announcement Date:
Jan 16, 2004

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Citation Formats

Bessaih, H. Incompressible limit of compressible Navier-Stokes equations. IAEA: N. p., 1994. Web.
Bessaih, H. Incompressible limit of compressible Navier-Stokes equations. IAEA.
Bessaih, H. 1994. "Incompressible limit of compressible Navier-Stokes equations." IAEA.
@misc{etde_101401,
title = {Incompressible limit of compressible Navier-Stokes equations}
 author = {Bessaih, H}
 abstractNote = {In this paper we study the system which describes the motion of compressible viscous fluid in a bounded domain {Omega} of R{sup 3}. When we introduce a parameter {lambda}, that is the inverse of the Mach number, we prove, under small initial data and external force (for barotropic flows), that the solution of Navier-Stokes equations is the incompressible limit of the solution of compressible Navier-Stokes equations, as the Mach number becomes small. For this, we show the existence of a solution verifying estimates independent of {lambda}. Compactness argument allow us to pass to the limit on {lambda} in the nonlinear terms. (author). 17 refs.}
 place = {IAEA}
 year = {1994}
 month = {Dec}
 }