On asymptotic isotropy for a hydrodynamic model of liquid crystals
  We study a PDE system describing the motion of liquid crystals by means of the $Q-$tensor description for the crystals coupled with the incompressible Navier-Stokes system. Using the method of Fourier splitting, we show that solutions of the system tend to the isotropic state at the rate $(1 + t)^{-3/2}$ as $t \to \infty$. 
Mimi Dai, Eduard Feireisl, Elisabetta Rocca, Giulio Schimperna, Maria   Schonbek
math.AP