Uniaxial symmetry in nematic liquid crystals

DOI10.1016/j.anihpc.2014.05.006zbMath1345.49002arXiv1402.1058OpenAlexW2070841855MaRDI QIDQ892703

Xavier Lamy

Publication date: 11 November 2015

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1058

zbMATH Keywords

nematic liquid crystalsenergy minimizersequilibrium configurationsradial symmetrybiaxial escapeuniaxial symmetry

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (10)

Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model ⋮ Modelling and computation of liquid crystals ⋮ Biaxial escape in nematics at low temperature ⋮ Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals ⋮ Torus-like solutions for the Landau-de Gennes model. I: The Lyuksyutov regime ⋮ Remarks on uniaxial solutions in the Landau-de Gennes theory ⋮ Symmetry in nonlinear PDEs: some open problems ⋮ Biaxiality in the asymptotic analysis of a 2D Landau−de Gennes model for liquid crystals ⋮ Torus-like solutions for the Landau-De Gennes model ⋮ Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals

Cites Work

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• Symmetry of Uniaxial Global Landau--de Gennes Minimizers in the Theory of Nematic Liquid Crystals
• Corrigendum: Symmetry of Uniaxial Global Landau--de Gennes Minimizers in the Theory of Nematic Liquid Crystals

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