On asymptotic isotropy for a hydrodynamic model of liquid crystals

@article{Dai2014OnAI,
  title={On asymptotic isotropy for a hydrodynamic model of liquid crystals},
  author={Mimi Dai and Eduard Feireisl and Elisabetta Rocca and Giulio Schimperna and Maria E. Schonbek},
  journal={Asymptot. Anal.},
  year={2014},
  volume={97},
  pages={189-210}
}
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 . 

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