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.

中文翻译：

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液晶建模与计算

液晶是一种介于结晶固体和各向同性流体之间的软物质。液晶的研究在过去的四十年里取得了巨大的进步，对于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，并调查了寻找液晶丰富构型的数值方法的发展。