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Molecular Crystals and Liquid Crystals Volume 612, 2015 - Issue 1: 25th International Liquid Crystal Conference (ILCC 2014)
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Theory

Discontinuous Order Parameters in Liquid Crystal Theories

J. M. BallMathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Oxford, UKCorrespondence[email protected]
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S. J. BedfordMathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Oxford, UK
Pages 1-23 | Published online: 06 Jul 2015

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J. M. Ball, G. Canevari & B. Stroffolini. (2023) A free discontinuity model for smectic thin films. Liquid Crystals 50:7-10, pages 1439-1448.
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J. M. Ball. (2017) Mathematics and liquid crystals. Molecular Crystals and Liquid Crystals 647:1, pages 1-27.
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Articles from other publishers (17)

René Wittmann, Paul A. Monderkamp, Jingmin Xia, Louis B. G. Cortes, Iago Grobas, Patrick E. Farrell, Dirk G. A. L. Aarts & Hartmut Löwen. (2023) Colloidal smectics in button-like confinements: Experiment and theory. Physical Review Research 5:3.
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Jingmin Xia & Patrick E. Farrell. (2023) Variational and numerical analysis of a Q -tensor model for smectic-A liquid crystals . ESAIM: Mathematical Modelling and Numerical Analysis 57:2, pages 693-716.
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Jack Paget, Marco G. Mazza, Andrew J. Archer & Tyler N. Shendruk. (2023) Complex-tensor theory of simple smectics. Nature Communications 14:1.
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Andres Contreras & Xavier Lamy. (2022) Singular perturbation of manifold-valued maps with anisotropic energy. Analysis & PDE 15:6, pages 1531-1560.
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François   Alouges, Antonin   Chambolle & Dominik   Stantejsky. (2021) The Saturn Ring Effect in Nematic Liquid Crystals with External Field: Effective Energy and Hysteresis. Archive for Rational Mechanics and Analysis 241:3, pages 1403-1457.
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Giacomo Canevari & Giandomenico Orlandi. (2021) Topological singularities for vector-valued Sobolev maps and applications. Annales de la Faculté des sciences de Toulouse : Mathématiques 30:2, pages 327-351.
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Jingmin Xia, Scott MacLachlan, Timothy J. Atherton & Patrick E. Farrell. (2021) Structural Landscapes in Geometrically Frustrated Smectics. Physical Review Letters 126:17.
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Natalie Aryasova & Sergij V. Shiyanovskii. (2020) Elasticity and dynamics of uniaxial nematic liquid crystal with defects: Nemator model. Physical Review Research 2:4.
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Giacomo Canevari & Giandomenico Orlandi. (2020) Lifting for manifold-valued maps of bounded variation. Journal of Functional Analysis 278:10, pages 108453.
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Giacomo Canevari & Giandomenico Orlandi. (2020) Improved Partial Regularity for Manifold-Constrained Minimisers of Subquadratic Energies. Communications in Mathematical Physics 374:3, pages 1483-1495.
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Giacomo Canevari, Apala Majumdar & Bianca Stroffolini. (2019) Minimizers of a Landau–de Gennes energy with a subquadratic elastic energy. Archive for Rational Mechanics and Analysis 233:3, pages 1169-1210.
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Radu Ignat & Xavier Lamy. (2019) Lifting of $${\mathbb {RP}^{d-1}}$$ RP d - 1 -valued maps in BV and applications to uniaxial Q-tensors. With an appendix on an intrinsic BV-energy for manifold-valued maps. Calculus of Variations and Partial Differential Equations 58:2.
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Robert Buarque de Macedo, Hossein Pourmatin, Timothy Breitzman & Kaushik Dayal. (2018) Disclinations without gradients: A nonlocal model for topological defects in liquid crystals. Extreme Mechanics Letters 23, pages 29-40.
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Rufat Badal, Marco Cicalese, Lucia De Luca & Marcello Ponsiglione. (2017) $${\Gamma}$$ Γ -Convergence Analysis of a Generalized XY Model: Fractional Vortices and String Defects. Communications in Mathematical Physics 358:2, pages 705-739.
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Chiqun Zhang, Xiaohan Zhang, Amit Acharya, Dmitry Golovaty & Noel Walkington. (2016) A non-traditional view on the modeling of nematic disclination dynamics. Quarterly of Applied Mathematics 75:2, pages 309-357.
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John M. Ball, Eduard Feireisl & Felix OttoJohn M. Ball. 2017. Mathematical Thermodynamics of Complex Fluids. Mathematical Thermodynamics of Complex Fluids 1 46 .
Delphine Coursault, Bruno Zappone, Alessandro Coati, Athmane Boulaoued, Laurent Pelliser, Denis Limagne, Nathalie Boudet, Bicher Haj Ibrahim, Antonello de Martino, Michel Alba, Michel Goldmann, Yves Garreau, Bruno Gallas & Emmanuelle Lacaze. (2016) Self-organized arrays of dislocations in thin smectic liquid crystal films. Soft Matter 12:3, pages 678-688.
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