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arXiv · 1409.7499

On asymptotic isotropy for a hydrodynamic model of liquid crystals

Mimi Dai·Eduard Feireisl·Elisabetta Rocca·Giulio Schimperna·Maria Schonbek
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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 $(1 + t)^{-3/2}$ as $t \to \infty$.

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Mimi Dai, Eduard Feireisl, Elisabetta Rocca, Giulio Schimperna, Maria Schonbek. 2014-09-26. On asymptotic isotropy for a hydrodynamic model of liquid crystals. https://arxiv.org/abs/1409.7499

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