LPS's Criterion for Incompressible Nematic Liquid Crystal Flows

2012/11/24 by Chen, Qing, Tan, Zhong, Wu, Guochun
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1211.5682

Abstract

In this paper we derive LPS's criterion for the breakdown of classical solutions to the incompressible nematic liquid crystal flow, a simplified version of Ericksen-Leslie system modeling the hydrodynamic evolution of nematic liquid crystals in \mathbb R³. We show that if 0

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