Mathematics and liquid crystals
arXiv:1612.03792 · doi:10.1080/15421406.2017.1289425
Abstract
A review is given of some mathematical contributions, ideas and questions concerning liquid crystals.
Proceedings of International Liquid Crystal Conference 2016. To appear in Molecular Crystals and Liquid Crystals
References in corpus (7)
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- Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals
- Finite time singularity of the nematic liquid crystal flow in dimension three
- Instability of point defects in a two-dimensional nematic liquid crystal model
- Minimizers of the Landau-de Gennes energy around a spherical colloid particle
- Effective behavior of nematic elastomer membranes
- Smectic Liquid Crystals: Materials with One-Dimensional, Periodic Order
Cited by in corpus (18)
- Design rules for liquid crystalline electrolytes for enabling dendrite-free lithium metal batteries
- Orientational order on surfaces - the coupling of topology, geometry, and dynamics
- Structural Landscapes in Geometrically Frustrated Smectics
- Nematic liquid crystals on curved surfaces - a thin film limit
- Phase transitions and macroscopic limits in a BGK model of body-attitude coordination
- Nonstationary models for liquid crystals: A fresh mathematical perspective
- Curvature-driven wrinkling of thin elastic shells
- The saturn ring effect in nematic liquid crystals with external field: effective energy and hysteresis
- Well-posedness of the Ericksen-Leslie System for the Oseen-Frank Model in L^3_{uloc}(\mathbb{R}^3)
- Forces and Variational Compatibility for Equilibrium Liquid Crystal Director Models with Coupled Electric Fields
- Variational models with Eulerian-Lagrangian formulation allowing for material failure
- A Novel Landau-de Gennes Model with Quartic Elastic Terms
- Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system
- Quasistatic evolution of Orlicz-Sobolev nematic elastomers
- Nematronics: Reciprocal coupling between ionic currents and nematic dynamics
- Global Well-posedness of the Two Dimensional Beris-Edwards System with General Laudau-de Gennes Free Energy
- Nematic liquid crystals: Ericksen-Leslie theory with general stress tensors
- Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes