On a compressible non-isothermal model for nematic liquid crystals
  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 \gamma>3/2. 
Boling Guo, Binqiang Xie, Xiaoyu Xi
math.AP