Global weak solution and large-time behavior for the compressible flow   of liquid crystals
  The three-dimensional equations for the compressible flow of liquid crystals are considered. An initial-boundary value problem is studied in a bounded domain with large data. The existence and large-time behavior of a global weak solution are established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent $\gamma>\frac32$. 
Dehua Wang, Cheng Yu
math.AP