Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals

Radu Ignat; [No Value] Luc Nguyen; Valeriy Slastikov; Arghir Zarnescu

doi:10.1016/j.crma.2013.07.012

Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals

Radu Ignat^*, [No Value] Luc Nguyen, Valeriy Slastikov, Arghir Zarnescu

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

15 Citations (Scopus)

Abstract

We analyze the radially symmetric solution corresponding to the vortex defect (the so-called melting hedgehog) in the Landau-de Gennes theory for nematic liquid crystals. We prove the existence, uniqueness and stability results of the melting hedgehog. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

Original language	English
Pages (from-to)	533-537
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	351
Issue number	13-14
DOIs	https://doi.org/10.1016/j.crma.2013.07.012
Publication status	Published - Jul 2013

Keywords

RADIAL HEDGEHOG
MODELS

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http://www.sciencedirect.com/science/article/pii/S1631073X13001702

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@article{9ec6d08d742d47b99029e125e582dfc3,

title = "Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals",

abstract = "We analyze the radially symmetric solution corresponding to the vortex defect (the so-called melting hedgehog) in the Landau-de Gennes theory for nematic liquid crystals. We prove the existence, uniqueness and stability results of the melting hedgehog. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.",

keywords = "RADIAL HEDGEHOG, MODELS",

author = "Radu Ignat and {Luc Nguyen}, {[No Value]} and Valeriy Slastikov and Arghir Zarnescu",

year = "2013",

month = jul,

doi = "10.1016/j.crma.2013.07.012",

language = "English",

volume = "351",

pages = "533--537",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Elsevier Masson SAS",

number = "13-14",

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TY - JOUR

T1 - Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals

AU - Ignat, Radu

AU - Luc Nguyen, [No Value]

AU - Slastikov, Valeriy

AU - Zarnescu, Arghir

PY - 2013/7

Y1 - 2013/7

N2 - We analyze the radially symmetric solution corresponding to the vortex defect (the so-called melting hedgehog) in the Landau-de Gennes theory for nematic liquid crystals. We prove the existence, uniqueness and stability results of the melting hedgehog. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

AB - We analyze the radially symmetric solution corresponding to the vortex defect (the so-called melting hedgehog) in the Landau-de Gennes theory for nematic liquid crystals. We prove the existence, uniqueness and stability results of the melting hedgehog. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

KW - RADIAL HEDGEHOG

KW - MODELS

U2 - 10.1016/j.crma.2013.07.012

DO - 10.1016/j.crma.2013.07.012

M3 - Article (Academic Journal)

SN - 1631-073X

VL - 351

SP - 533

EP - 537

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 13-14

ER -

Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals

Abstract

Keywords

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