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

Sirui Li and Fangxin Zhao
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Sirui Li: School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
Fangxin Zhao: School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China

Mathematics, 2021, vol. 9, issue 8, 1-22

Abstract: 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.

Keywords: liquid crystals; Qian–Sheng model; Ericksen–Leslie model; uniaxial limit (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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