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Molecular Crystals and Liquid Crystals Volume 495, 2008 - Issue 1
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Original Articles

Orientable and Non-Orientable Line Field Models for Uniaxial Nematic Liquid Crystals

John M. Ball Mathematical Institute, Oxford, United KingdomCorrespondence[email protected]
&
Arghir Zarnescu Mathematical Institute, Oxford, United Kingdom
Pages 221/[573]-233/[585] | Published online: 30 Jan 2009

Citations (17)

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Read on this site (2)

J. M. Ball. (2017) Mathematics and liquid crystals. Molecular Crystals and Liquid Crystals 647:1, pages 1-27.
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J. M. Ball & S. J. Bedford. (2015) Discontinuous Order Parameters in Liquid Crystal Theories. Molecular Crystals and Liquid Crystals 612:1, pages 1-23.
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Articles from other publishers (15)

Andrea Pedrini & Epifanio G Virga. (2023) Relieving nematic geometric frustration in the plane. Journal of Physics A: Mathematical and Theoretical 56:26, pages 265202.
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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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Gaetano Napoli, Oleksandr V. Pylypovskyi, Denis D. Sheka & Luigi Vergori. (2021) Nematic shells: new insights in topology- and curvature-induced effects. Soft Matter 17:45, pages 10322-10333.
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Arghir Zarnescu. (2021) Mathematical problems of nematic liquid crystals: between dynamical and stationary problems. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379:2201, pages 20200432.
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Wei Wang, Lei Zhang & Pingwen Zhang. (2021) Modelling and computation of liquid crystals. Acta Numerica 30, pages 765-851.
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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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Jamie M. Taylor. (2018) Oseen–Frank-type theories of ordered media as the Γ-limit of a non-local mean-field free energy. Mathematical Models and Methods in Applied Sciences 28:04, pages 615-657.
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O. M. Tovkach, Christopher Conklin, M. Carme Calderer, Dmitry Golovaty, Oleg D. Lavrentovich, Jorge Viñals & Noel J. Walkington. (2017) Q-tensor model for electrokinetics in nematic liquid crystals. Physical Review Fluids 2:5.
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CG Böhmer & N Tamanini. (2013) Rotational elasticity and couplings to linear elasticity. Mathematics and Mechanics of Solids 20:8, pages 959-974.
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Song Mei & Pingwen Zhang. (2015) On a Molecular Based Q-Tensor Model for Liquid Crystals with Density Variations. Multiscale Modeling & Simulation 13:3, pages 977-1000.
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Fanghua Lin & Changyou Wang. (2014) Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372:2029, pages 20130361.
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Amit Acharya & Kaushik Dayal. (2013) Continuum mechanics of line defects in liquid crystals and liquid crystal elastomers. Quarterly of Applied Mathematics 72:1, pages 33-64.
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Sören Bartels & Alexander Raisch. 2014. Singular Phenomena and Scaling in Mathematical Models. Singular Phenomena and Scaling in Mathematical Models 383 412 .
Matteo Focardi & Emanuele Spadaro. (2011) An intrinsic approach to manifold constrained variational problems. Annali di Matematica Pura ed Applicata 192:1, pages 145-163.
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John M. Ball & Arghir Zarnescu. (2011) Orientability and Energy Minimization in Liquid Crystal Models. Archive for Rational Mechanics and Analysis 202:2, pages 493-535.
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