| Title:
|
On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces (English) |
| Author:
|
Aizicovici, Sergiu |
| Author:
|
Feireisl, Eduard |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
757-767 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
compressible Navier-Stokes equations |
| Keyword:
|
global-in-time solutions |
| Keyword:
|
large time bahaviour |
| MSC:
|
35B35 |
| MSC:
|
35Q30 |
| MSC:
|
76N10 |
| idZBL:
|
Zbl 1080.35061 |
| idMR:
|
MR2000067 |
| . |
| Date available:
|
2009-09-24T11:06:18Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127837 |
| . |
| Reference:
|
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| Reference:
|
[2] E. Feireisl: Propagation of oscillations, complete trajectories and attractors for compressible flows.NoDEA 10 (2003), 33–55. Zbl 1025.35019, MR 1978085, 10.1007/s00030-003-1028-z |
| Reference:
|
[3] E. Feireisl, Š. Matušů-Nečasová, H. Petzeltová and I. Straškraba: On the motion of a viscous compressible flow driven by a time-periodic external flow.Arch. Rational Mech. Anal. 149 (1999), 69–96. MR 1723036, 10.1007/s002050050168 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[8] E. Feireisl and H. Petzeltová: Asymptotic compactness of global trajectories generated by the Navier-Stokes equations of compressible fluid.J. Differential Equations 173 (2001), 390–409. MR 1834120, 10.1006/jdeq.2000.3935 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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