Asymptotics of minimizers of variational problems involving curl functional

DOI10.1063/1.533391zbMath0972.76011OpenAlexW2039679016MaRDI QIDQ2738096

Xing-Bin Pan, Yuan-wei Qi

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b267d4e726463a972b84a5ba00c906c33083ac5a

zbMATH Keywords

unit diskunit ballliquid crystalsasymptotic behavior of minimizerscurl functionalsimplified energy functionalsingularly perturbed variational problems

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Variational methods applied to problems in fluid mechanics (76M30) Liquid crystals (76A15)

Related Items (10)

On a problem related to vortex nucleation of superconductivity ⋮ An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals ⋮ Minimizers of curl prescribed full trace ⋮ Variational problem involving operator curl associated with p -curl system ⋮ Nucleation of instability of the Meissner state of 3-dimensional superconductors ⋮ Variational and operator methods for Maxwell-Stokes system ⋮ Minimizing curl in a multiconnected domain ⋮ Unnamed Item ⋮ On a quasilinear system involving the operator curl ⋮ An Augmented Lagrangian Method for the Microstructure of a Liquid Crystal Model

Cites Work

• Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation
• Regularity of solutions of a degenerate elliptic variational problem
• Liquid crystals with variable degree of orientation
• Existence and partial regularity of static liquid crystal configurations
• A variational problem for nematic liquid crystals with variable degree of orientation
• Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders
• Radial configurations of smectic A materials and focal conics
• A boundary-value problem for nematic liquid crystals with a variable degree of orientation
• On nematic liquid crystals with variable degree of orientation
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• Partially constrained boundary conditions with energy minimizing mappings
• The distance function and defect energy

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