| Title:
|
The Cauchy problem for the liquid crystals system in the critical Besov space with negative index (English) |
| Author:
|
Ming, Sen |
| Author:
|
Yang, Han |
| Author:
|
Chen, Zili |
| Author:
|
Yong, Ls |
| Language:
|
English |
| Journal:
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Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
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1572-9141 (online) |
| Volume:
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67 |
| Issue:
|
1 |
| Year:
|
2017 |
| Pages:
|
37-55 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The local well-posedness for the Cauchy problem of the liquid crystals system in the critical Besov space $\dot {B}_{p,1}^{n/p-1}(\mathbb R^n)\times \dot {B}_{p,1}^{n/p}(\mathbb R^n)$ with $n<p<2n$ is established by using the heat semigroup theory and the Littlewood-Paley theory. The global well-posedness for the system is obtained with small initial datum by using the fixed point theorem. The blow-up results for strong solutions to the system are also analysed. (English) |
| Keyword:
|
liquid crystals system |
| Keyword:
|
critical Besov space |
| Keyword:
|
negative index |
| Keyword:
|
well-posedness |
| Keyword:
|
blow-up |
| MSC:
|
35B44 |
| MSC:
|
35Q35 |
| MSC:
|
76A15 |
| idZBL:
|
Zbl 06738503 |
| idMR:
|
MR3632997 |
| DOI:
|
10.21136/CMJ.2017.0249-15 |
| . |
| Date available:
|
2017-03-13T12:04:47Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146039 |
| . |
| Reference:
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