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Research Article | Open Access

Recent analytic development of the dynamic Q-tensor theory for nematic liquid crystals

Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, USA
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Abstract

Liquid crystals are a typical type of soft matter that are intermediate between conventional crystalline solids and isotropic fluids. The nematic phase is the simplest liquid crystal phase, and has been studied the most in the mathematical community. There are various continuum models to describe liquid crystals of nematic type, and Q-tensor theory is one among them. The aim of this paper is to give a brief review of recent PDE results regarding the Q-tensor theory in dynamic configurations.

Keywords

nematic liquid crystalsQ-tensorsdynamic theoryanalytic workhydrodynamic systemsgradient flows

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Electronic Research Archive
Volume 30 Issue 6,
June 2022
Pages 2220-2246
DOI: 10.3934/era.2022113

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Xu X. Recent analytic development of the dynamic Q-tensor theory for nematic liquid crystals. Electronic Research Archive, 2022, 30(6): 2220-2246. https://doi.org/10.3934/era.2022113

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Received: 18 September 2021
Revised: 13 December 2021
Accepted: 14 December 2021
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)