American Institute of Mathematical Sciences

November  2010, 27(4): 1587-1609. doi: 10.3934/dcds.2010.27.1587

Long time behavior and attractors for energetically insulated fluid systems

 1 Institute of Mathematics AVČR, Zitná, 115 67 Praha 1, Czech Republic

Received  September 2009 Revised  January 2010 Published  March 2010

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.
Citation: Eduard Feireisl. Long time behavior and attractors for energetically insulated fluid systems. Discrete and Continuous Dynamical Systems, 2010, 27 (4) : 1587-1609. doi: 10.3934/dcds.2010.27.1587
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