Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors

Dmitry Golovaty, Matthias Kurzke, Jose Alberto Montero and Daniel Spirn
Journal of Nonlinear Science 33 (3) (2023)
https://doi.org/10.1007/s00332-023-09898-x

Uniform profile near the point defect of Landau-de Gennes model

Zhiyuan Geng and Arghir Zarnescu
Calculus of Variations and Partial Differential Equations 62 (1) (2023)
https://doi.org/10.1007/s00526-022-02348-8

Refined asymptotics for Landau-de Gennes minimizers on planar domains

Dmitry Golovaty and Jose Alberto Montero
Calculus of Variations and Partial Differential Equations 61 (6) (2022)
https://doi.org/10.1007/s00526-022-02306-4

Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains

Antonin Monteil, Rémy Rodiac and Jean Van Schaftingen
Mathematische Annalen 383 (3-4) 1061 (2022)
https://doi.org/10.1007/s00208-021-02204-8

Ginzburg–Landau Relaxation for Harmonic Maps on Planar Domains into a General Compact Vacuum Manifold

Antonin Monteil, Rémy Rodiac and Jean Van Schaftingen
Archive for Rational Mechanics and Analysis 242 (2) 875 (2021)
https://doi.org/10.1007/s00205-021-01695-8

Parameter dependent finite element analysis for ferronematics solutions

Ruma Rani Maity, Apala Majumdar and Neela Nataraj
Computers & Mathematics with Applications 103 127 (2021)
https://doi.org/10.1016/j.camwa.2021.10.027

Topological singularities for vector-valued Sobolev maps and applications

Giacomo Canevari and Giandomenico Orlandi
Annales de la Faculté des sciences de Toulouse : Mathématiques 30 (2) 327 (2021)
https://doi.org/10.5802/afst.1677

Torus-like Solutions for the Landau-de Gennes Model. Part I: The Lyuksyutov Regime

Federico Dipasquale, Vincent Millot and Adriano Pisante
Archive for Rational Mechanics and Analysis 239 (2) 599 (2021)
https://doi.org/10.1007/s00205-020-01582-8

Topological Singular Set of Vector-Valued Maps, II: $$\varGamma $$-convergence for Ginzburg–Landau type functionals

Giacomo Canevari and Giandomenico Orlandi
Archive for Rational Mechanics and Analysis 241 (2) 1065 (2021)
https://doi.org/10.1007/s00205-021-01671-2

Mathematical problems of nematic liquid crystals: between dynamical and stationary problems

Arghir Zarnescu
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379 (2201) 20200432 (2021)
https://doi.org/10.1098/rsta.2020.0432

Saturn ring defect around a spherical particle immersed in a nematic liquid crystal

Stan Alama, Lia Bronsard, Dmitry Golovaty and Xavier Lamy
Calculus of Variations and Partial Differential Equations 60 (6) (2021)
https://doi.org/10.1007/s00526-021-02091-6

The Saturn Ring Effect in Nematic Liquid Crystals with External Field: Effective Energy and Hysteresis

François   Alouges, Antonin   Chambolle and Dominik   Stantejsky
Archive for Rational Mechanics and Analysis 241 (3) 1403 (2021)
https://doi.org/10.1007/s00205-021-01674-z

Improved Partial Regularity for Manifold-Constrained Minimisers of Subquadratic Energies

Giacomo Canevari and Giandomenico Orlandi
Communications in Mathematical Physics 374 (3) 1483 (2020)
https://doi.org/10.1007/s00220-019-03675-2

Symmetry and Multiplicity of Solutions in a Two-Dimensional Landau–de Gennes Model for Liquid Crystals

Radu Ignat, Luc Nguyen, Valeriy Slastikov and Arghir Zarnescu
Archive for Rational Mechanics and Analysis 237 (3) 1421 (2020)
https://doi.org/10.1007/s00205-020-01539-x

Minimizers of a Landau–de Gennes energy with a subquadratic elastic energy

Giacomo Canevari, Apala Majumdar and Bianca Stroffolini
Archive for Rational Mechanics and Analysis 233 (3) 1169 (2019)
https://doi.org/10.1007/s00205-019-01376-7

Higher dimensional Ginzburg–Landau equations under weak anchoring boundary conditions

Patricia Bauman, Daniel Phillips and Changyou Wang
Journal of Functional Analysis 276 (2) 447 (2019)
https://doi.org/10.1016/j.jfa.2018.07.001

Dimension Reduction for the Landau--de Gennes Model: The Vanishing Nematic Correlation Length Limit

Michael R. Novack
SIAM Journal on Mathematical Analysis 50 (6) 6007 (2018)
https://doi.org/10.1137/18M1165189

Spherical Particle in Nematic Liquid Crystal Under an External Field: The Saturn Ring Regime

Stan Alama, Lia Bronsard and Xavier Lamy
Journal of Nonlinear Science 28 (4) 1443 (2018)
https://doi.org/10.1007/s00332-018-9456-z

The Oseen–Frank Limit of Onsager’s Molecular Theory for Liquid Crystals

Yuning Liu and Wei Wang
Archive for Rational Mechanics and Analysis 227 (3) 1061 (2018)
https://doi.org/10.1007/s00205-017-1180-6

Uniaxial versus biaxial character of nematic equilibria in three dimensions

Duvan Henao, Apala Majumdar and Adriano Pisante
Calculus of Variations and Partial Differential Equations 56 (2) (2017)
https://doi.org/10.1007/s00526-017-1142-8

Stability of half-degree point defect profiles for 2-D nematic liquid crystal

Zhiyuan Geng, Wei Wang, Pingwen Zhang and Zhifei Zhang
Discrete & Continuous Dynamical Systems - A 37 (12) 6227 (2017)
https://doi.org/10.3934/dcds.2017269

Dimension Reduction for the Landau-de Gennes Model on Curved Nematic Thin Films

Dmitry Golovaty, José Alberto Montero and Peter Sternberg
Journal of Nonlinear Science 27 (6) 1905 (2017)
https://doi.org/10.1007/s00332-017-9390-5

Line Defects in the Small Elastic Constant Limit of a Three-Dimensional Landau-de Gennes Model

Giacomo Canevari
Archive for Rational Mechanics and Analysis 223 (2) 591 (2017)
https://doi.org/10.1007/s00205-016-1040-9

Half-Integer Point Defects in the Q-Tensor Theory of Nematic Liquid Crystals

G. Di Fratta, J. M. Robbins, V. Slastikov and A. Zarnescu
Journal of Nonlinear Science 26 (1) 121 (2016)
https://doi.org/10.1007/s00332-015-9271-8

Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation

Georgy Kitavtsev, J. M. Robbins, Valeriy Slastikov and Arghir Zarnescu
Mathematical Models and Methods in Applied Sciences 26 (14) 2769 (2016)
https://doi.org/10.1142/S0218202516500664

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

Giacomo Canevari, Mythily Ramaswamy and Apala Majumdar
Physica D: Nonlinear Phenomena 314 18 (2016)
https://doi.org/10.1016/j.physd.2015.09.013

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

Radu Ignat, Luc Nguyen, Valeriy Slastikov and Arghir Zarnescu
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 33 (4) 1131 (2016)
https://doi.org/10.1016/j.anihpc.2015.03.007

Perturbed hedgehogs: continuous deformation of point defects in biaxial nematic liquid crystals

D. R. J. Chillingworth
IMA Journal of Applied Mathematics 81 (4) 647 (2016)
https://doi.org/10.1093/imamat/hxw005

A non-traditional view on the modeling of nematic disclination dynamics

Chiqun Zhang, Xiaohan Zhang, Amit Acharya, Dmitry Golovaty and Noel Walkington
Quarterly of Applied Mathematics 75 (2) 309 (2016)
https://doi.org/10.1090/qam/1441

Stability of point defects of degree $$\pm \frac{1}{2}$$ ± 1 2 in a two-dimensional nematic liquid crystal model

Radu Ignat, Luc Nguyen, Valeriy Slastikov and Arghir Zarnescu
Calculus of Variations and Partial Differential Equations 55 (5) (2016)
https://doi.org/10.1007/s00526-016-1051-2

Dimension Reduction for the Landau-de Gennes Model in Planar Nematic Thin Films

Dmitry Golovaty, José Alberto Montero and Peter Sternberg
Journal of Nonlinear Science 25 (6) 1431 (2015)
https://doi.org/10.1007/s00332-015-9264-7

On Minimizers of a Landau–de Gennes Energy Functional on Planar Domains

Dmitry Golovaty and José Alberto Montero
Archive for Rational Mechanics and Analysis 213 (2) 447 (2014)
https://doi.org/10.1007/s00205-014-0731-3