Global Existence and Regularity for the Active Liquid Crystal System

2015/09/09 by Chen, Gui-Qiang, Majumdar, Apala, Wang, Dehua +1 · 1 citation
#35Q35 #76A15 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1509.02608

Abstract

In this paper, we study the active hydrodynamics, described in the Q-tensor liquid crystal framework. We prove the existence of global weak solutions in dimension two and three, with suitable initial datas. By using Littlewood-Paley decomposition, we also get the higher regularity of the weak solutions and the uniqueness of weak-strong solutions in dimension two.

Cited by

• Weak-strong uniqueness of the full coupled Navier-Stokes and Q-tensor system in dimension three

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