Orientational order on surfaces: the coupling of topology, geometry, and dynamics
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Publication:1702993
DOI10.1007/s00332-017-9405-2zbMath1391.35335arXiv1608.01343OpenAlexW2528968066MaRDI QIDQ1702993
Simon Praetorius, Michael Nestler, Ingo Nitschke, Axel Voigt
Publication date: 1 March 2018
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.01343
Differential geometric aspects in vector and tensor analysis (53A45) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Liquid crystals (76A15) Singularities of vector fields, topological aspects (58K45) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Flows on surfaces (37E35)
Related Items (14)
Modelling and computation of liquid crystals ⋮ Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects ⋮ Nematic liquid crystals on curved surfaces: a thin film limit ⋮ Derivation and simulation of a two-phase fluid deformable surface model ⋮ Diffusion of tangential tensor fields: numerical issues and influence of geometric properties ⋮ 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 ⋮ Upwind Schemes for Scalar Advection-Dominated Problems in the Discrete Exterior Calculus ⋮ Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation ⋮ Liquid crystals on deformable surfaces ⋮ Modelling fluid deformable surfaces with an emphasis on biological interfaces ⋮ Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces ⋮ Removing isolated zeroes by homotopy
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