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arXiv · 1208.3007

Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\mathbb{R}^3)$

Mimi Dai·Maria E. Schonbek
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Abstract

In this paper we study the large time behavior of regular solutions to a nematic liquid crystal system in Sobolev spaces $H^m(\R^3)$ for $m\geq 0$.We obtain optimal decay rates in $H^m(R^3)$ spaces, in the sense that the rates coincide with the rates of the underlying linear counterpart. The fluid under consideration has constant density and small initial data.

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Mimi Dai, Maria E. Schonbek. 2012-10-11. Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\mathbb{R}^3)$. https://arxiv.org/abs/1208.3007

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