| Title:
|
Serrin-type regularity criterion for the Navier-Stokes equations involving one velocity and one vorticity component (English) |
| Author:
|
Zhang, Zujin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
219-225 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider the Cauchy problem for the three-dimensional Navier-Stokes equations, and provide an optimal regularity criterion in terms of $u_3$ and $\omega _3$, which are the third components of the velocity and vorticity, respectively. This gives an affirmative answer to an open problem in the paper by P. Penel, M. Pokorný (2004). (English) |
| Keyword:
|
regularity criterion |
| Keyword:
|
Navier-Stokes equation |
| MSC:
|
35B65 |
| MSC:
|
35Q30 |
| MSC:
|
76D03 |
| idZBL:
|
Zbl 06861576 |
| idMR:
|
MR3783594 |
| DOI:
|
10.21136/CMJ.2017.0419-16 |
| . |
| Date available:
|
2018-03-19T10:29:13Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147130 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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