Time decay rate of global strong solutions to nematic liquid crystal flows in $\mathbb R^3_+$
Abstract
In this paper, we obtain optimal time-decay rates in $L^r(\mathbb R^3_+)$ for $r\ge 1$ of global strong solutions to the nematic liquid crystal flows in $\mathbb R^3_+$, provided the initial data has small $L^3(\mathbb R^3_+)$-norm.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2018
- DOI:
- 10.48550/arXiv.1810.09645
- arXiv:
- arXiv:1810.09645
- Bibcode:
- 2018arXiv181009645H
- Keywords:
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- Mathematics - Analysis of PDEs
- E-Print:
- 29 pages