DEFECTS IN LIQUID CRYSTAL FLOWS

Zaihui GAN; Xianpeng HU; Fanghua LIN

doi:10.1137/21M1396010

DEFECTS IN LIQUID CRYSTAL FLOWS

Zaihui GAN
, Xianpeng HU
, Fanghua LIN

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

2 Citations (Scopus)

97 Downloads (CityUHK Scholars)

Abstract

This paper concerns the dynamical properties of topological defects in two dimensional flows of liquid crystals modeled by the Ginzburg-Landau approximations. The fluid is transported by a nonlocal (an averaged) velocity and is coupled with effects of the elastic stress. The defects move along the trajectories of the flow associated with this averaged velocity, that is, d/dt a_j(t) = u(a_j(t), t).

Original language	English
Pages (from-to)	1695-1717
Journal	SIAM Journal on Mathematical Analysis
Volume	54
Issue number	2
Online published	14 Mar 2022
DOIs	https://doi.org/10.1137/21M1396010
Publication status	Published - 2022

Funding

The work of the first author was partially supported by the National Natural ScienceFoundation of China grant 11571254. The work of the second author was partially supported bythe Research Grants Council projects CityU 11300417, 11301919, 11300420. The work of the thirdauthor was partially supported by the NSF grant DMS-1955249.

Research Keywords

Averaged velocity
Dynamical properties
Ginzburg-Landau vortices

Publisher's Copyright Statement

COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: © 2022, Society for Industrial and Applied Mathematics. GAN, Z., HU, X., & LIN, F. (2022). DEFECTS IN LIQUID CRYSTAL FLOWS. SIAM Journal on Mathematical Analysis, 54(2), 1695-1717. https://doi.org/10.1137/21M1396010.

RGC Funding Information

RGC-funded

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title = "DEFECTS IN LIQUID CRYSTAL FLOWS",

abstract = "This paper concerns the dynamical properties of topological defects in two dimensional flows of liquid crystals modeled by the Ginzburg-Landau approximations. The fluid is transported by a nonlocal (an averaged) velocity and is coupled with effects of the elastic stress. The defects move along the trajectories of the flow associated with this averaged velocity, that is, d/dt aj (t) = u(aj(t), t).",

keywords = "Averaged velocity, Dynamical properties, Ginzburg-Landau vortices",

author = "Zaihui GAN and Xianpeng HU and Fanghua LIN",

year = "2022",

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language = "English",

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pages = "1695--1717",

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issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics",

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T1 - DEFECTS IN LIQUID CRYSTAL FLOWS

AU - GAN, Zaihui

AU - HU, Xianpeng

AU - LIN, Fanghua

PY - 2022

Y1 - 2022

N2 - This paper concerns the dynamical properties of topological defects in two dimensional flows of liquid crystals modeled by the Ginzburg-Landau approximations. The fluid is transported by a nonlocal (an averaged) velocity and is coupled with effects of the elastic stress. The defects move along the trajectories of the flow associated with this averaged velocity, that is, d/dt aj (t) = u(aj(t), t).

AB - This paper concerns the dynamical properties of topological defects in two dimensional flows of liquid crystals modeled by the Ginzburg-Landau approximations. The fluid is transported by a nonlocal (an averaged) velocity and is coupled with effects of the elastic stress. The defects move along the trajectories of the flow associated with this averaged velocity, that is, d/dt aj (t) = u(aj(t), t).

KW - Averaged velocity

KW - Dynamical properties

KW - Ginzburg-Landau vortices

UR - https://www.scopus.com/pages/publications/85128945846

UR - https://www.scopus.com/pages/publications/85128945846#tab=impact

U2 - 10.1137/21M1396010

DO - 10.1137/21M1396010

M3 - RGC 21 - Publication in refereed journal

SN - 0036-1410

VL - 54

SP - 1695

EP - 1717

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 2

ER -

DEFECTS IN LIQUID CRYSTAL FLOWS

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GRF: Wellposedness and Low Mach Number Limit in Compressible Complex Fluids

GRF: Zero Shear Viscosity for Compressible Complex Fluids

GRF: Global Existence of Weak Solutions and Concentration Phenomena for Multi-Dimensional Compressible Viscoelastic Fluids

Cite this

DEFECTS IN LIQUID CRYSTAL FLOWS

Abstract

Funding

Research Keywords

Publisher's Copyright Statement

RGC Funding Information

Access Output

Other Access Options

Permanent Link

Other Files and Links

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Projects

GRF: Wellposedness and Low Mach Number Limit in Compressible Complex Fluids

GRF: Zero Shear Viscosity for Compressible Complex Fluids

GRF: Global Existence of Weak Solutions and Concentration Phenomena for Multi-Dimensional Compressible Viscoelastic Fluids

Cite this