| Title:
|
Conditions implying regularity of the three dimensional Navier-Stokes equation (English) |
| Author:
|
Montgomery-Smith, Stephen |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
50 |
| Issue:
|
5 |
| Year:
|
2005 |
| Pages:
|
451-464 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac-like inequalities. As part of our methods, we give a different approach to a priori estimates of Foiaş, Guillopé and Temam. (English) |
| Keyword:
|
Navier-Stokes equation |
| Keyword:
|
vorticity |
| Keyword:
|
Prodi-Serrin condition |
| Keyword:
|
Beale-Kato-Majda condition |
| Keyword:
|
Orlicz norm |
| Keyword:
|
stochastic method |
| MSC:
|
35B65 |
| MSC:
|
35Q30 |
| MSC:
|
46E30 |
| MSC:
|
60H10 |
| MSC:
|
60H30 |
| MSC:
|
76D03 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 1099.35086 |
| idMR:
|
MR2160072 |
| DOI:
|
10.1007/s10492-005-0032-0 |
| . |
| Date available:
|
2009-09-22T18:23:31Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134617 |
| . |
| 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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