On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces

Sergiu Aizicovici; Eduard Feireisl

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 3, page 757-767
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Aizicovici, Sergiu, and Feireisl, Eduard. "On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces." Czechoslovak Mathematical Journal 53.3 (2003): 757-767. <http://eudml.org/doc/30813>.

@article{Aizicovici2003,
abstract = {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.},
author = {Aizicovici, Sergiu, Feireisl, Eduard},
journal = {Czechoslovak Mathematical Journal},
keywords = {compressible Navier-Stokes equations; global-in-time solutions; large time bahaviour; compressible Navier-Stokes equations; global-in-time solutions; large time bahaviour},
language = {eng},
number = {3},
pages = {757-767},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces},
url = {http://eudml.org/doc/30813},
volume = {53},
year = {2003},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 3
SP - 757
EP - 767
AB - 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.
LA - eng
KW - compressible Navier-Stokes equations; global-in-time solutions; large time bahaviour; compressible Navier-Stokes equations; global-in-time solutions; large time bahaviour
UR - http://eudml.org/doc/30813
ER -

References

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