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Modelling and computation of liquid crystals

delete2021-08-04
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PRE
AI
王薇 cover
王薇 (Wei Wang) *
张磊 (Lei Zhang)
P
Pingwen Zhang
DOI:10.1017/S0962492921000088delete
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Abstract

Abstract

En 中文
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.
Keywords:
DE-GENNES THEORY
ENERGY-STABLE SCHEMES
FINITE-ELEMENT-METHOD
PHASE-FIELD MODEL
KINETIC-HYDRODYNAMIC SIMULATION
SHRINKING DIMER METHOD
FINDING SADDLE-POINTS
DOI-ONSAGER EQUATION
BENT-CORE MOLECULES
Q-TENSOR MODEL

Journal

Acta Numerica cover
Acta Numerica
IF:
11.3
Papers:
89
Citations:
3.4K

Organization

P
peking university
Scholars:
11.7W
Papers: 8.7W
Citations: 146
Z
zhejiang university
Scholars:
17.5W
Papers: 12.0W
Citations: 152