| Title:
|
An improved regularity criteria for the MHD system based on two components of the solution (English) |
| Author:
|
Zhang, Zujin |
| Author:
|
Zhang, Yali |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
66 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
451-460 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
As observed by Yamazaki, the third component $b_3$ of the magnetic field can be estimated by the corresponding component $u_3$ of the velocity field in $L^{\lambda }$ $(2\leq \lambda \leq 6)$ norm. This leads him to establish regularity criterion involving $u_3, j_3$ or $u_3,\omega _3$. Noticing that $\lambda $ can be greater than 6 in this paper, we can improve previous results. (English) |
| Keyword:
|
MHD equations |
| Keyword:
|
regularity criteria |
| MSC:
|
35B65 |
| MSC:
|
35Q35 |
| MSC:
|
76D03 |
| idZBL:
|
07361065 |
| idMR:
|
MR4263161 |
| DOI:
|
10.21136/AM.2020.0259-19 |
| . |
| Date available:
|
2021-05-20T13:37:19Z |
| Last updated:
|
2023-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148904 |
| . |
| Reference:
|
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