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

Mimi Dai; Maria E. Schonbek

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

Analysis of PDEs 2012-10-12 v2

Authors: Mimi Dai , Maria E. Schonbek

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.

Keywords

liquid crystal system asymptotic behavior Sobolev spaces optimal decay rates nematic liquid crystal

Cite

@article{arxiv.1208.3007,
  title  = {Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\mathbb{R}^3)$},
  author = {Mimi Dai and Maria E. Schonbek},
  journal= {arXiv preprint arXiv:1208.3007},
  year   = {2012}
}

Comments

21 pages

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