2014, Dai, Mimi, Feireisl, Eduard, Rocca, Elisabetta, Schimperna, Giulio, Schonbek, Maria E.

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)-β as t → ∞ for a certain β > 1/2 .