University of Sussex
Browse

File(s) not publicly available

Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals

journal contribution
posted on 2023-06-08, 20:19 authored by Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir Zarnescu
We investigate stability properties of the radially symmetric solution corresponding to the vortex defect (the so called ``melting hedgehog'') in the framework of the Landau-de Gennes model of nematic liquid crystals. We prove local stability of the melting hedgehog under arbitrary Q-tensor valued perturbations in the temperature regime near the critical supercooling temperature. As a consequence of our method, we also rediscover the loss of stability of the vortex defect in the deep nematic regime.

History

Publication status

  • Published

Journal

Archive for Rational Mechanics and Analysis

ISSN

0003-9527

Publisher

Springer Verlag

Issue

2

Volume

215

Page range

633-673

Place of publication

233 SPRING ST, NEW YORK, NY 10013 USA

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2015-03-13

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC