Exponential stability in $H^4$ for the Navier--Stokes equations of compressible and heat conductive fluid

Yuming Qin; T. F. Ma; M. M. Cavalcanti; D. Andrade

doi:10.3934/cpaa.2005.4.635

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2005, Volume 4, Issue 3: 635-664. Doi: 10.3934/cpaa.2005.4.635

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Exponential stability in $H^4$ for the Navier--Stokes equations of compressible and heat conductive fluid

1.
Department of Mathematics - Henan University,Kaifeng 475001
2.
Department of Mathematics - State University of Maringá, 87020-900 Maringá, PR

Received: May 31, 2004

Revised: March 31, 2005

Published: August 2005

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Abstract

This paper is concerned with the exponential stability of solutions in $H^4$ for the Navier--Stokes equations for a polytropic viscous heat conductive ideal gas in bounded annular domains $\Omega_n$ in $\mathbb{R}^n (n=2,3)$.

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Mathematics Subject Classification: Primary: 35B30, 35B40; Secondary: 35Q72.

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Exponential stability in $H^4$ for the Navier--Stokes equations of compressible and heat conductive fluid

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