Long time behavior and attractors for energetically insulated fluid systems

Eduard Feireisl

doi:10.3934/dcds.2010.27.1587

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2010, Volume 27, Issue 4: 1587-1609. Doi: 10.3934/dcds.2010.27.1587

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Long time behavior and attractors for energetically insulated fluid systems

Eduard Feireisl^1,

1.
Institute of Mathematics AVČR, Zitná, 115 67 Praha 1

Received: September 2009

Revised: January 2010

Published: December 2010

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Abstract

We study the long time behavior, and, in particular, the existence of attractors for the Navier-Stokes-Fourier system under energetically insulated boundary conditions. We show that the attractor consists of static solutions determined uniquely by the total mass and energy of the fluid.

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Mathematics Subject Classification: Primary: 35Q30; Secondary: 35B41.

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