A boundary-value problem for nematic liquid crystals with a variable degree of orientation

DOI10.1007/BF00376138zbMath0736.49031OpenAlexW2060284453MaRDI QIDQ1814193

Epifanio G. Virga, Luigi Ambrosio

Publication date: 25 June 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00376138

zbMATH Keywords

energy functionaldefectsliquid crystalsdegree of orientation

Mathematics Subject Classification ID

Variational principles of physics (49S05)

Related Items (18)

Defects of liquid crystals with variable degree of orientation ⋮ Disclinations in limiting Landau-de Gennes theory ⋮ Recent developments of analysis for hydrodynamic flow of nematic liquid crystals ⋮ Rectifiability of line defects in liquid crystals with variable degree of orientation ⋮ Bifurcation analysis in a frustrated nematic cell ⋮ Asymptotics of minimizers of variational problems involving curl functional ⋮ One dimensional phase transition problem modeling striped spin orbit coupled Bose-Einstein condensates ⋮ Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model ⋮ On plane defects in nematic liquid crystals with variable degree of orientation ⋮ Unnamed Item ⋮ On nematic liquid crystals with variable degree of orientation ⋮ A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals ⋮ Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation ⋮ Uniqueness of planar tangent maps in the modified Ericksen model ⋮ Regularity of solutions of a degenerate elliptic variational problem ⋮ Relaxation of bulk and interfacial energies ⋮ A mixed boundary value problem for TFT/LCD: Analysis and numerical methods ⋮ Harmonic maps into round cones and singularities of nematic liquid crystals

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation
• Disclinations and hedgehogs in nematic liquid crystals with variable degree of orientation
• Regularity of solutions of a degenerate elliptic variational problem
• Liquid crystals with variable degree of orientation
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• Elliptic Partial Differential Equations of Second Order

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