Large‐time behavior of solutions to a 1D liquid crystal system

Abstract

In this paper, we prove the large-time behavior, as time tends to infinity, of solutions in H i × H i 0 × H i+1 (i = 1, 2) and H 4 × H 4 0 × H 4 for a system modeling the nematic liquid crystal flow, which consists of a subsystem of the compressible Navier-Stokes equations coupling with a subsystem including a heat flow equation for harmonic maps. KEYWORDS large-time behavior, liquid crystal system Math Meth Appl Sci. 2017;40:7077-7103.wileyonlinelibrary.com/journal/mma