Global solution to liquid crystal flows in three dimensions

2011/04/17 by Wenke Tan, Zhaoyang Yin, Tan, Wenke +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1104.3301

openalex publication_date 2011/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we mainly study a hydrodynamic system modeling the flow of nematic liquid crystals. In three dimensions, we first establish local well-posedness of the initial-boundary value problem of the system. Then, we prove the existence of global strong solution to the system with small initial-boundary condition.

Citations

• Some constitutive equations for liquid crystals
• <i>The Physics of Liquid Crystals</i>

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• Global existence of weak solutions of the nematic liquid crystal flow in dimensions three
• Global Strong Solutions to Incompressible Nematic Liquid Crystal Flow
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• Global finite energy weak solutions to the compressible nematic liquid crystal flow in dimension three