The Uniaxial Limit of the Non-Inertial Qian–Sheng Model for Liquid Crystals

The Uniaxial Limit of the Non-Inertial Qian–Sheng Model for Liquid Crystals

In this article, we consider the Qian–Sheng model in the Landau–de Gennes framework describing nematic liquid crystal flows when the inertial effect is neglected. By taking the limit of elastic constant to zero (also called the uniaxial limit) and utilizing the so-called Hilbert expansion method, we...

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Bibliographic Details
Main Authors: Sirui Li, Fangxin Zhao
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
liquid crystals
Qian–Sheng model
Ericksen–Leslie model
uniaxial limit
Online Access:https://www.mdpi.com/2227-7390/9/8/912
Description
Summary:In this article, we consider the Qian–Sheng model in the Landau–de Gennes framework describing nematic liquid crystal flows when the inertial effect is neglected. By taking the limit of elastic constant to zero (also called the uniaxial limit) and utilizing the so-called Hilbert expansion method, we provide a rigorous derivation from the non-inertial Qian–Sheng model to the Ericksen–Leslie model.
ISSN:2227-7390

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