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

DOI10.1016/j.crma.2013.07.012zbMath1276.35030OpenAlexW2055764205MaRDI QIDQ373672

Arghir Zarnescu, Luc Nguyen, Radu Ignat, Valeriy V. Slastikov

Publication date: 18 October 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1631073X13001702

zbMATH Keywords

existenceuniquenessmelting hedgehog

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Variational methods for second-order elliptic equations (35J20) Axially symmetric solutions to PDEs (35B07)

Related Items (13)

Instability of point defects in a two-dimensional nematic liquid crystal model ⋮ Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model ⋮ Biaxial escape in nematics at low temperature ⋮ Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals ⋮ Uniaxial symmetry in nematic liquid crystals ⋮ Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation ⋮ A non-traditional view on the modeling of nematic disclination dynamics ⋮ Pattern formation in Landau-de Gennes theory ⋮ Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals ⋮ Symmetry in nonlinear PDEs: some open problems ⋮ Biaxiality in the asymptotic analysis of a 2D Landau−de Gennes model for liquid crystals ⋮ Half-integer point defects in the \(Q\)-tensor theory of nematic liquid crystals ⋮ Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals

Cites Work

• Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals
• Orientability and energy minimization in liquid crystal models
• Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
• Symmetry of local minimizers for the three-dimensional Ginzburg-Landau functional
• Some properties of the nematic radial hedgehog in the Landau-de Gennes theory
• On the stability of radial solutions of the Ginzburg-Landau equation
• Uniqueness Results for an ODE Related to a Generalized Ginzburg--Landau Model for Liquid Crystals
• Ginzburg-Landau vortices
• Unnamed Item

This page was built for publication: Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals