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Disclinations in limiting Landau-de Gennes theory (Q2180915)

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Language	Label	Description	Also known as
English	Disclinations in limiting Landau-de Gennes theory	scientific article

Statements

scholarly article

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Disclinations in limiting Landau-de Gennes theory (English)

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Archive for Rational Mechanics and Analysis

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publication date

15 May 2020

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full work available at URL

https://arxiv.org/abs/1905.01638

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zbMATH Keywords

Landau-de Gennes theory

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liquid crystal

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MaRDI profile type

MaRDI publication profile

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Minimizers of the Landau-de Gennes energy around a spherical colloid particle

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Defects of liquid crystals with variable degree of orientation

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Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation

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Regularity of solutions of a degenerate elliptic variational problem

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

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On equilibrium configurations of nematic liquid crystals droplet with anisotropic elastic energy

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Orientability and energy minimization in liquid crystal models

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Analysis of nematic liquid crystals with disclination lines

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Regularity and the behavior of eigenvalues for minimizers of a constrained \(Q\)-tensor energy for liquid crystals

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Harmonic maps with defects

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Further regularity for the signorini problem

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Biaxiality in the asymptotic analysis of a 2D Landau−de Gennes model for liquid crystals

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Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model

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Radial symmetry on three-dimensional shells in the Landau-de Gennes theory

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Biaxial escape in nematics at low temperature

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Energy minimizing harmonic maps with an obstacle at the free boundary

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An optimal estimate for the singular set of a harmonic map in the free boundary.

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Partial regularity for stationary harmonic maps into spheres

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Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models

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Half-integer point defects in the \(Q\)-tensor theory of nematic liquid crystals

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Elliptic partial differential equations of second order

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Existence and partial regularity of static liquid crystal configurations

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Partially constrained boundary conditions with energy minimizing mappings

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Axially symmetric harmonic maps minimizing a relaxed energy

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Uniaxial versus biaxial character of nematic equilibria in three dimensions

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On the Disclination Lines of Nematic Liquid Crystals

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Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals

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Instability of point defects in a two-dimensional nematic liquid crystal model

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Universal fine structure of nematic hedgehogs

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Some properties of the nematic radial hedgehog in the Landau-de Gennes theory

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Jacobi fields along harmonic 2-spheres in 3- and 4-spheres are not all integrable

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On nematic liquid crystals with variable degree of orientation

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Recent developments of analysis for hydrodynamic flow of nematic liquid crystals

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Convergence of minimizers for the \(p\)-Dirichlet integral

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Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond

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Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory

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The radial-hedgehog solution in Landau–de Gennes' theory for nematic liquid crystals

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Boundary regularity via Uhlenbeck–Rivière decomposition

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Direct Methods in the Theory of Elliptic Equations

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Bubble tree convergence for harmonic maps

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Partial regularity for harmonic maps and related problems

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Metastable nematic hedgehogs

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A regularity theory for harmonic maps

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Boundary regularity and the Dirichlet problem for harmonic maps

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Regularity of minimizing harmonic maps into the sphere

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Identifiers

zbMATH Open document ID

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10.1007/s00205-020-01505-7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2180915

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