| Title:
|
On the global regularity of $N$-dimensional generalized Boussinesq system (English) |
| Author:
|
Yamazaki, Kazuo |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
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0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
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60 |
| Issue:
|
2 |
| Year:
|
2015 |
| Pages:
|
109-133 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the $N$-dimensional Boussinesq system with dissipation and diffusion generalized in terms of fractional Laplacians. In particular, we show that given the critical dissipation, a solution pair remains smooth for all time even with zero diffusivity. In the supercritical case, we obtain component reduction results of regularity criteria and smallness conditions for the global regularity in dimensions two and three. (English) |
| Keyword:
|
Boussinesq system |
| Keyword:
|
global regularity |
| Keyword:
|
regularity criteria |
| Keyword:
|
Besov space |
| MSC:
|
35B65 |
| MSC:
|
35Q30 |
| MSC:
|
35Q35 |
| MSC:
|
35Q86 |
| MSC:
|
76D03 |
| idZBL:
|
Zbl 06433675 |
| idMR:
|
MR3320341 |
| DOI:
|
10.1007/s10492-015-0087-5 |
| . |
| Date available:
|
2015-03-09T17:26:58Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144166 |
| . |
| Reference:
|
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