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Published in 2017 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-017-1144-x
Abstract: AbstractIn this article we construct a global solution of the simplified Ericksen-Leslie system. We show that the velocity of the solution can be decomposed into the sum of three parts. The main flow is governed…
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Keywords:
rightarrow infty;
solutions nematic;
global equivariant;
equivariant solutions ... See more keywords
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Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.02.021
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.
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Keywords:
nematic liquid;
global strong;
time decay;
liquid crystal ... See more keywords