Modelling and computation of liquid crystals

IF 16.3 1区数学 Q1 MATHEMATICS

Acta Numerica Pub Date : 2021-04-06 DOI:10.1017/S0962492921000088

Wen Wang, Lei Zhang, Pingwen Zhang

引用次数: 34

Abstract

Liquid crystals are a type of soft matter that is intermediate between crystalline solids and isotropic fluids. The study of liquid crystals has made tremendous progress over the past four decades, which is of great importance for fundamental scientific research and has widespread applications in industry. In this paper we review the mathematical models and their connections to liquid crystals, and survey the developments of numerical methods for finding rich configurations of liquid crystals.

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液晶的建模与计算

液晶是介于结晶固体和各向同性流体之间的一种软物质。近四十年来，液晶研究取得了巨大进展，对基础科学研究具有重要意义，在工业上有着广泛的应用。在本文中，我们回顾了数学模型及其与液晶的联系，并综述了寻找丰富液晶构型的数值方法的发展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Numerica MATHEMATICS-

CiteScore

26.00

自引率

0.70%

发文量

期刊介绍： Acta Numerica stands as the preeminent mathematics journal, ranking highest in both Impact Factor and MCQ metrics. This annual journal features a collection of review articles that showcase survey papers authored by prominent researchers in numerical analysis, scientific computing, and computational mathematics. These papers deliver comprehensive overviews of recent advances, offering state-of-the-art techniques and analyses. Encompassing the entirety of numerical analysis, the articles are crafted in an accessible style, catering to researchers at all levels and serving as valuable teaching aids for advanced instruction. The broad subject areas covered include computational methods in linear algebra, optimization, ordinary and partial differential equations, approximation theory, stochastic analysis, nonlinear dynamical systems, as well as the application of computational techniques in science and engineering. Acta Numerica also delves into the mathematical theory underpinning numerical methods, making it a versatile and authoritative resource in the field of mathematics.