ON NEMATICS STABILIZED BY A LARGE EXTERNAL FIELD

DOI10.1142/S0129055X99000234zbMath0958.58018MaRDI QIDQ4519811

Itai Shafrir, Nelly André

Publication date: 4 December 2000

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

zbMATH Keywords

variational problemliquid crystals

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Harmonic maps, etc. (58E20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (5)

A zigzag pattern in micromagnetics ⋮ Boundary vortices for thin ferromagnetic films ⋮ Ginzburg-Landau vortices driven by the Landau-Lifshitz-Gilbert equation ⋮ Néel and Cross-Tie Wall Energies for Planar Micromagnetic Configurations ⋮ On a singular perturbation problem involving the distance to a curve

Cites Work

• Boundary regularity and the Dirichlet problem for harmonic maps
• A regularity theory for harmonic maps
• Uniqueness of the solution of a semilinear boundary value problem
• Density of smooth functions between two manifolds in Sobolev spaces
• Minimization of a Ginzburg-Landau type functional with nonvanishing Dirichlet boundary condition
• Asymptotics for the minimization of a Ginzburg-Landau functional
• Lower bounds for the energy of unit vector fields and applications
• The gradient theory of phase transitions and the minimal interface criterion
• Vortices for a variational problem related to superconductivity
• Solutions of Ginzburg-Landau equations and critical points of the renormalized energy
• Remarks on sublinear elliptic equations

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