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.
arXiv commentProceedings of International Liquid Crystal Conference 2016. To appear in Molecular Crystals and Liquid Crystals
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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