Nematic liquid crystals on curved surfaces: a thin film limit

DOI10.1098/rspa.2017.0686zbMath1402.82021arXiv1709.09436OpenAlexW3102425006WikidataQ64974128 ScholiaQ64974128MaRDI QIDQ4557720

Michael Nestler, Hartmut Löwen, Ingo Nitschke, Axel Voigt, Simon Praetorius

Publication date: 26 November 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09436

zbMATH Keywords

nematic liquid crystalssurface equationthin film limit

Mathematics Subject Classification ID

Thin fluid films (76A20) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (9)

Modelling and computation of liquid crystals ⋮ Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects ⋮ Symmetry Properties of Minimizers of a Perturbed Dirichlet Energy with a Boundary Penalization ⋮ A hydrodynamical model of nematic liquid crystal films with a general state of orientational order ⋮ Tensorial time derivatives on moving surfaces: general concepts and a specific application for surface Landau-de Gennes models ⋮ A numerical approach for fluid deformable surfaces ⋮ A finite element approach for vector- and tensor-valued surface PDEs ⋮ Approximation of tensor fields on surfaces of arbitrary topology based on local Monge parametrizations ⋮ Liquid crystals on deformable surfaces

Uses Software

• AMDiS

Cites Work

• Unnamed Item
• Software concepts and numerical algorithms for a scalable adaptive parallel finite element method
• Dimension reduction for the Landau-de Gennes model on curved nematic thin films
• Orientational order on surfaces: the coupling of topology, geometry, and dynamics
• Analysis of a variational model for nematic shells
• A finite element approach to incompressible two-phase flow on manifolds
• Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation
• Dynamic cubic instability in a 2D Q-tensor model for liquid crystals
• The Interplay of Curvature and Vortices in Flow on Curved Surfaces
• Finite element methods for surface PDEs

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