| Title:
|
Logarithmically improved blow-up criterion for smooth solutions to the Leray-$\alpha $-magnetohydrodynamic equations (English) |
| Author:
|
Ben Omrane, Ines |
| Author:
|
Gala, Sadek |
| Author:
|
Kim, Jae-Myoung |
| Author:
|
Ragusa, Maria Alessandra |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
55-68 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, the Cauchy problem for the $3D$ Leray-$\alpha $-MHD model is investigated. We obtain the logarithmically improved blow-up criterion of smooth solutions for the Leray-$\alpha $-MHD model in terms of the magnetic field $B$ only in the framework of homogeneous Besov space with negative index. (English) |
| Keyword:
|
magnetohydrodynamic-$\alpha $ model |
| Keyword:
|
regularity criterion |
| Keyword:
|
Besov space |
| MSC:
|
35B40 |
| MSC:
|
76D03 |
| idZBL:
|
Zbl 07088758 |
| idMR:
|
MR3939064 |
| DOI:
|
10.5817/AM2019-1-55 |
| . |
| Date available:
|
2019-03-23T12:23:46Z |
| Last updated:
|
2020-02-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147650 |
| . |
| Reference:
|
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