Remarks on uniaxial solutions in the Landau-de Gennes theory

DOI10.1016/j.jmaa.2018.04.003zbMath1394.35366arXiv1710.02783OpenAlexW2963755813WikidataQ130042237 ScholiaQ130042237MaRDI QIDQ1748311

Apala Majumdar, YiWei Wang

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02783

zbMATH Keywords

symmetric solutionsLandau-de Gennesuniaxial solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (3)

Modelling and computation of liquid crystals ⋮ Surface, size and topological effects for some nematic equilibria on rectangular domains ⋮ Solution landscape of a reduced Landau–de Gennes model on a hexagon

Cites Work

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• The radial-hedgehog solution in Landau–de Gennes' theory for nematic liquid crystals
• Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
• Finite Element Analysis of the Landau--de Gennes Minimization Problem for Liquid Crystals
• Symmetry of Uniaxial Global Landau--de Gennes Minimizers in the Theory of Nematic Liquid Crystals
• Uniqueness Results for an ODE Related to a Generalized Ginzburg--Landau Model for Liquid Crystals
• Ginzburg-Landau vortices

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