On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 3, pp. 757-767
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We show that the global-in-time solutions to the compressible Navier-Stokes equations driven by highly oscillating external forces stabilize to globally defined (on the whole real line) solutions of the same system with the driving force given by the integral mean of oscillations. Several stability results will be obtained.
Classification :
35B35, 35Q30, 76N10
Keywords: compressible Navier-Stokes equations; global-in-time solutions; large time bahaviour
Keywords: compressible Navier-Stokes equations; global-in-time solutions; large time bahaviour
@article{CMJ_2003__53_3_a19,
author = {Aizicovici, Sergiu and Feireisl, Eduard},
title = {On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces},
journal = {Czechoslovak Mathematical Journal},
pages = {757--767},
publisher = {mathdoc},
volume = {53},
number = {3},
year = {2003},
mrnumber = {2000067},
zbl = {1080.35061},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a19/}
}
TY - JOUR AU - Aizicovici, Sergiu AU - Feireisl, Eduard TI - On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces JO - Czechoslovak Mathematical Journal PY - 2003 SP - 757 EP - 767 VL - 53 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a19/ LA - en ID - CMJ_2003__53_3_a19 ER -
%0 Journal Article %A Aizicovici, Sergiu %A Feireisl, Eduard %T On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces %J Czechoslovak Mathematical Journal %D 2003 %P 757-767 %V 53 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a19/ %G en %F CMJ_2003__53_3_a19
Aizicovici, Sergiu; Feireisl, Eduard. On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 3, pp. 757-767. http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a19/