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Emergent biaxiality in chiral hybrid liquid crystals
Jin-Sheng Wu, Marina Torres Lázaro, Haridas Mundoor, Henricus H. Wensink and Ivan I. Smalyukh Nature Communications 15(1) (2024) https://doi.org/10.1038/s41467-024-54236-8
Point defects in 2-D liquid crystals with a singular potential: Profiles and stability
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
Ginzburg–Landau Relaxation for Harmonic Maps on Planar Domains into a General Compact Vacuum Manifold
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
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
Half-Integer Point Defects in the Q-Tensor Theory of Nematic Liquid Crystals
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
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
Dimension Reduction for the Landau-de Gennes Model in Planar Nematic Thin Films