WIAS Preprint No. 2021, (2014)

On asymptotic isotropy for a hydrodynamic model of liquid crystals



Authors

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

2010 Mathematics Subject Classification

  • 76A15 74H40 35Q30

Keywords

  • Liquid crystal, Q?tensor description, long-time behavior, Fourier splitting

Abstract

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)?? as t ? ? 1 for a certain ? > 2 .

Appeared in

  • Asymptot. Anal., 97 (2016) pp. 189--210.

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