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arXiv · 1711.04925

Global Weak Solutions for the Compressible Active Liquid Crystal System

Gui-Qiang G. Chen·Apala Majumdar·Dehua Wang·Rongfang Zhang
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Abstract

We study the hydrodynamics of compressible flows of active liquid crystals in the Beris-Edwards hydrodynamics framework, using the Landau-de Gennes $Q$-tensor order parameter to describe liquid crystalline ordering. We prove the existence of global weak solutions for this active system in three space dimensions by the three-level approximations and weak convergence argument. New techniques and estimates are developed to overcome the difficulties caused by the active terms.

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Gui-Qiang G. Chen, Apala Majumdar, Dehua Wang, Rongfang Zhang. 2017-11-14. Global Weak Solutions for the Compressible Active Liquid Crystal System. https://arxiv.org/abs/1711.04925

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