Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects

DOI10.4208/cicp.OA-2021-0206OpenAlexW3185815201MaRDI QIDQ5065199

Michael Nestler, Axel Voigt

Publication date: 18 March 2022

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.07779

zbMATH Keywords

surface finite elementsdefect dynamicshydrodynamic couplingtopological active matter

Mathematics Subject Classification ID

Biophysics (92C05) Partial differential equations of mathematical physics and other areas of application (35Qxx) Biological fluid mechanics (76Zxx)

Related Items (2)

A hydrodynamical model of nematic liquid crystal films with a general state of orientational order ⋮ Morphodynamics of active nematic fluid 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 in planar nematic thin films
• Dimension reduction for the Landau-de Gennes model on curved nematic thin films
• Orientational order on surfaces: the coupling of topology, geometry, and dynamics
• Observer-invariant time derivatives on moving surfaces
• A finite element approach for vector- and tensor-valued surface PDEs
• A finite element approach to incompressible two-phase flow on manifolds
• Nematic liquid crystals on curved surfaces: a thin film limit
• Dimension Reduction for the Landau--de Gennes Model: The Vanishing Nematic Correlation Length Limit
• On singular limit equations for incompressible fluids in moving thin domains
• Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation
• A numerical approach for fluid deformable surfaces
• Liquid crystals on deformable surfaces
• Modelling fluid deformable surfaces with an emphasis on biological interfaces
• Finite element methods for surface PDEs
• Numerical Solution of the Navier-Stokes Equations
• Vortex formation and dynamics of defects in active nematic shells

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