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 journalArticle (Academic Journal)peer-review

13 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 languageEnglish
Pages (from-to)533-537
Number of pages5
JournalComptes Rendus Mathematique
Volume351
Issue number13-14
DOIs
Publication statusPublished - Jul 2013

Keywords

  • RADIAL HEDGEHOG
  • MODELS

Cite this