Existence of Sobolev regular solutions for the incompressible flow of liquid crystals in three dimensions

This paper considers a simplified three dimensional Ericksen-Leslie System for nematic liquid crystal flows in the unbounded domain $ \Omega: = \mathbb R^+\times \mathbb R^2 $ or the smooth bounded domain $ \Omega $. The hydrodynamic system consists of the Navier-Stokes type equations for the fluid...

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Bibliographic Details
Main Authors: Junling Sun, Xuefeng Han
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022863?viewType=HTML