| Autor: |
Choudhury, Anupam Pal, Hussein, Amru, Tolksdorf, Patrick |
| Rok vydání: |
2017 |
| Předmět: |
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| Zdroj: |
SIAM Journal on Mathematical Analysis, 50(4): 4282-4310, 2018 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1137/17M1160975 |
| Popis: |
We consider the simplified Ericksen-Leslie model in three dimensional bounded Lipschitz domains. Applying a semilinear approach, we prove local and global well-posedness (assuming a smallness condition on the initial data) in critical spaces for initial data in $L^3_{\sigma}$ for the fluid and $W^{1,3}$ for the director field. The analysis of such models, so far, has been restricted to domains with smooth boundaries. |
| Databáze: |
arXiv |
| Externí odkaz: |
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