Defects of liquid crystals with variable degree of orientation
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Publication:1674613
DOI10.1007/s00526-017-1218-5zbMath1418.58005arXiv1610.06592OpenAlexW2543088081MaRDI QIDQ1674613
Onur Alper, Fang-Hua Lin, Robert M. Hardt
Publication date: 25 October 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.06592
Variational problems in a geometric measure-theoretic setting (49Q20) Liquid crystals (76A15) Harmonic maps, etc. (58E20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
Related Items (7)
Disclinations in limiting Landau-de Gennes theory ⋮ Rectifiability of line defects in liquid crystals with variable degree of orientation ⋮ Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals ⋮ A Ginzburg-Landau model with topologically induced free discontinuities ⋮ A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals ⋮ Nematic-isotropic phase transition in liquid crystals: a variational derivation of effective geometric motions ⋮ Uniqueness of planar tangent maps in the modified Ericksen model
Cites Work
- Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps
- Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model
- Orientability and energy minimization in liquid crystal models
- Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation
- The singular set of an energy minimizing map from \(B^ 4\) to \(S^ 2\)
- Regularity of solutions of a degenerate elliptic variational problem
- Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Liquid crystals with variable degree of orientation
- A regularity theory for harmonic maps
- Harmonic maps with defects
- Existence and partial regularity of static liquid crystal configurations
- Stable defects of minimizers of constrained variational principles
- Harmonic maps into round cones and singularities of nematic liquid crystals
- On Ericksen's model for liquid crystals
- Rectifiability of line defects in liquid crystals with variable degree of orientation
- Rectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued maps
- A boundary-value problem for nematic liquid crystals with a variable degree of orientation
- Energy minimizing maps to piecewise uniformly regular Lipschitz manifolds
- On nematic liquid crystals with variable degree of orientation
- Nodal sets of solutions of elliptic and parabolic equations
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Mappings minimizing theLp norm of the gradient
- Uniqueness of planar tangent maps in the modified Ericksen model
- 𝑄 valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two
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