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September, 2010 Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
Qionglei Chen , Changxing Miao , Zhifei Zhang
Rev. Mat. Iberoamericana 26(3): 915-946 (September, 2010).

Abstract

In this paper, we prove the local well-posedness in critical Besov spaces for the compressible Navier-Stokes equations with density dependent viscosities under the assumption that the initial density is bounded away from zero.

Citation

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Qionglei Chen . Changxing Miao . Zhifei Zhang . "Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities." Rev. Mat. Iberoamericana 26 (3) 915 - 946, September, 2010.

Information

Published: September, 2010
First available in Project Euclid: 27 August 2010

zbMATH: 1205.35189
MathSciNet: MR2789370

Subjects:
Primary: 35D10 , 35Q30

Keywords: Besov spaces , Bony's paraproduct , Compressible Navier-Stokes equations , Fourier localization

Rights: Copyright © 2010 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.26 • No. 3 • September, 2010
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