On a compressible non-isothermal model for nematic liquid crystals

2016/03/13 by Guo, Boling, Xie, Binqiang, Xi, Xiaoyu
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1603.03976

Abstract

We prove the existence of a weak solution to a non-isothermal compressible model for nematic liquid crystals. An initial-boundary value problem is studied in a bounded domain with large data. The existence of a global weak solution is established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent γ>3/2.

Related

• Global Low-Energy Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals
• Global well-posedness and large time behavior for compressible non-isothermal nematic liquid crystal flows with vacuum at infinity
• Global Weak Solutions to the Equations of Compressible Flow of Nematic Liquid Crystals in Two Dimensions
• Global strong solutions for non-isothermal compressible nematic liquid crystal flows under a scaling-invariant smallness condition
• Global finite energy weak solutions to the compressible nematic liquid crystal flow in dimension three