On asymptotic isotropy for a hydrodynamic model of liquid crystals
- Dai, Mimi
- Feireisl, Eduard
- Rocca, Elisabetta
- Schimperna, Giulio
- Schonbek, Maria E.
2010 Mathematics Subject Classification
- 76A15 74H40 35Q30
- Liquid crystal, Q?tensor description, long-time behavior, Fourier splitting
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 .
- Asymptot. Anal., 97 (2016) pp. 189--210.