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2005 Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions
Thomas Alazard
Adv. Differential Equations 10(1): 19-44 (2005).

Abstract

We study the zero Mach number limit of classical solutions to the compressible Euler equations for nonisentropic fluids in a domain $\Omega \subset \mathbb R^d$ ($d=2$ or $3$). We consider the case of general initial data. For a domain $\Omega$, bounded or unbounded, we first prove the existence of classical solutions for a time independent of the small parameter. Then, in the exterior case, we prove that the solutions converge to the solution of the incompressible Euler equations.

Citation

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Thomas Alazard. "Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions." Adv. Differential Equations 10 (1) 19 - 44, 2005.

Information

Published: 2005
First available in Project Euclid: 18 December 2012

zbMATH: 1101.35050
MathSciNet: MR2106119

Subjects:
Primary: 35Q35
Secondary: 35B25, 76N10

Rights: Copyright © 2005 Khayyam Publishing, Inc.

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Vol.10 • No. 1 • 2005
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