Singularity formation for full Ericksen-Leslie system of nematic liquid crystal flows in dimension two

2023/05/06 by Chen, Geng, Huang, Tao, Xu, Xiang · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.03904

Abstract

In this paper, we prove the singularity formation for Poiseuille laminar flow of full Ericksen-Leslie system modeling nematic liquid crystal flows in dimension two. The singularity is due to the geometric effect at the origin.

Cited by

• Bifurcation and stability of stationary shear flows of Ericksen-Leslie model for nematic liquid crystals
• Global strong solutions to the frame hydrodynamics for biaxial nematic phases
• Poiseuille flow of hyperbolic Ericksen-Leslie system in dimension two

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