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

Mimi Dai, Maria E. Schonbek

In this paper we study the large time behavior of regular solutions to a nematic liquid crystal system in Sobolev spaces $H^m({\mathbb{R}}^3)$ for $m\ge 0$.We obtain optimal decay rates in…