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1999 A SURVEY OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS
Benoˆıt Desjardins, Chi-Kun Lin
Taiwanese J. Math. 3(2): 123-137 (1999). DOI: 10.11650/twjm/1500407089

Abstract

This paper presents mathematical properties of solutions to the Navier-Stokes equations for compressible fluids. We first review existence results for the Cauchy problem, and describe some regularity properties of solutions in the presence of possibly vanishing densities. Finally, we address the problem of the low Mach number limit leading to incompressible models.

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Benoˆıt Desjardins. Chi-Kun Lin. "A SURVEY OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS." Taiwanese J. Math. 3 (2) 123 - 137, 1999. https://doi.org/10.11650/twjm/1500407089

Information

Published: 1999
First available in Project Euclid: 18 July 2017

zbMATH: 0930.35121
MathSciNet: MR1692781
Digital Object Identifier: 10.11650/twjm/1500407089

Rights: Copyright © 1999 The Mathematical Society of the Republic of China

Vol.3 • No. 2 • 1999
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