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March  2009, 2(1): 95-111. doi: 10.3934/dcdss.2009.2.95

A stabilizing effect of a high-frequency driving force on the motion of a viscous, compressible, and heat conducting fluid

 1 Institute of Mathematics AS ČR, Žitná 25, 115 67 Praha 1 2 Charles University in Prague, Faculty of Mathematics and Physics, Dept. of Mathematical Analysis, Sokolovská 83, 186 75 Praha 8

Received  August 2007 Revised  November 2008 Published  January 2009

We study the impact of an oscillating external force on the motion of a viscous, compressible, and heat conducting fluid. Assuming that the frequency of oscillations increases sufficiently fast as the time goes to infinity, the solutions are shown to stabilize to a spatially homogeneous static state.
Citation: Eduard Feireisl, Dalibor Pražák. A stabilizing effect of a high-frequency driving force on the motion of a viscous, compressible, and heat conducting fluid. Discrete & Continuous Dynamical Systems - S, 2009, 2 (1) : 95-111. doi: 10.3934/dcdss.2009.2.95
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