On asymptotic isotropy for a hydrodynamic model of liquid crystals
Analysis of PDEs
2015-11-04 v2
Abstract
We study a PDE system describing the motion of liquid crystals by means of the 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 as .
Keywords
Cite
@article{arxiv.1409.7499,
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 Schonbek},
journal= {arXiv preprint arXiv:1409.7499},
year = {2015}
}