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

DOI10.1137/110856861zbMath1270.35030arXiv1110.6414OpenAlexW2045122154MaRDI QIDQ4907541

Apala Majumdar, Duvan Henao

Publication date: 4 February 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6414

zbMATH Keywords

low temperature limitradial-hedgehog solution

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Variational methods for elliptic systems (35J50) Liquid crystals (76A15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06) Ginzburg-Landau equations (35Q56)

Related Items (11)

Refined asymptotics for Landau-de Gennes minimizers on planar domains ⋮ Tetrahedral frame fields via constrained third-order symmetric tensors ⋮ Uniaxial symmetry in nematic liquid crystals ⋮ Recent developments of analysis for hydrodynamic flow of nematic liquid crystals ⋮ A non-traditional view on the modeling of nematic disclination dynamics ⋮ Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model ⋮ Remarks on uniaxial solutions in the Landau-de Gennes theory ⋮ Symmetry in nonlinear PDEs: some open problems ⋮ Front Propagation at the Nematic-Isotropic Transition Temperature ⋮ Biaxiality in the asymptotic analysis of a 2D Landau−de Gennes model for liquid crystals ⋮ Radial symmetry on three-dimensional shells in the Landau-de Gennes theory

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