| Title:
|
On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable (English) |
| Author:
|
Feireisl, Eduard |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
42 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
83-98 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show compactness of bounded sets of weak solutions to the isentropic compressible Navier-Stokes equations in three space dimensions under the hypothesis that the adiabatic constant $\gamma >3/2$. (English) |
| Keyword:
|
compressible flow |
| Keyword:
|
weak solutions |
| Keyword:
|
compactness |
| MSC:
|
35B05 |
| MSC:
|
35Q30 |
| MSC:
|
76N10 |
| idZBL:
|
Zbl 1115.35096 |
| idMR:
|
MR1825374 |
| . |
| Date available:
|
2009-01-08T19:08:32Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119225 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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[4] Feireisl E., Matušů-Nečasová Š., Petzeltová H., Straškraba I.: On the motion of a viscous compressible flow driven by a time-periodic external flow.Arch. Rational Mech. Anal. 149 69-96 (1999). MR 1723036 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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[8] Jiang S., Zhang P.: On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations.preprint, 1999. Zbl 0980.35126, MR 1810944 |
| Reference:
|
[9] Lions P.-L.: Mathematical Topics in Fluid Dynamics, Vol.2, Compressible Models.Oxford Science Publication, Oxford, 1998. MR 1637634 |
| Reference:
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[10] Lions P.-L.: Bornes sur la densité pour les équations de Navier-Stokes compressible isentropiques avec conditions aux limites de Dirichlet.C.R. Acad. Sci. Paris, Sér I. 328 659-662 (1999). MR 1680813 |
| Reference:
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[11] Yi Z.: An $L^p$ theorem for compensated compactness.Proc. Royal Soc. Edinburgh 122A (1992), 177-189. Zbl 0848.32025, MR 1190238 |
| . |
