| Title:
|
Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations (English) |
| Author:
|
Skalák, Zdeněk |
| Author:
|
Kučera, Petr |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
48 |
| Issue:
|
6 |
| Year:
|
2003 |
| Pages:
|
573-586 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the context of the weak solutions of the Navier-Stokes equations we study the regularity of the pressure and its derivatives in the space-time neighbourhood of regular points. We present some global and local conditions under which the regularity is further improved. (English) |
| Keyword:
|
Navier-Stokes equations |
| Keyword:
|
regularity of weak solutions |
| Keyword:
|
regular and singular points |
| MSC:
|
35D10 |
| MSC:
|
35Q30 |
| MSC:
|
35Q35 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 1099.35104 |
| idMR:
|
MR2025965 |
| DOI:
|
10.1023/B:APOM.0000024495.20079.27 |
| . |
| Date available:
|
2009-09-22T18:16:09Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134552 |
| . |
| 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:
|
[7] J. Serrin: On the interior regularity of weak solutions of the Navier-Stokes equations.Arch. Rational Mech. Anal. 9 (1962), 187–195. Zbl 0106.18302, MR 0136885, 10.1007/BF00253344 |
| Reference:
|
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| Reference:
|
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| . |
