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)-β as t → ∞ for a certain β > 1/2 .

URI

https://doi.org/10.34657/2811
https://oa.tib.eu/renate/handle/123456789/2904

Citation

Dai, M., Feireisl, E., Rocca, E., Schimperna, G., & Schonbek, M. E. (2014). On asymptotic isotropy for a hydrodynamic model of liquid crystals. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.

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