Liquid crystals on deformable surfaces
From MaRDI portal
Publication:5161087
DOI10.1098/rspa.2020.0313zbMath1472.82040arXiv1911.11859OpenAlexW3082522724WikidataQ100725938 ScholiaQ100725938MaRDI QIDQ5161087
Ingo Nitschke, Sebastian Reuther, Axel Voigt
Publication date: 29 October 2021
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/1911.11859
gradient flowmathematical modellingnematic liquid crystalbiophysicsmaterials scienceshape relaxation
Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15)
Related Items
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects ⋮ Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations ⋮ Linearly forced fluid flow on a rotating sphere ⋮ Variational models for the interaction of surfactants with curvature – existence and regularity of minimizers in the case of flexible curves ⋮ A meshfree collocation scheme for surface differential operators on point clouds ⋮ Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations ⋮ Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation ⋮ On derivations of evolving surface Navier-Stokes equations ⋮ Liquid crystals on deformable surfaces ⋮ Observer-invariant time derivatives on moving surfaces ⋮ Fluid deformable surfaces
Cites Work
- Unnamed Item
- Software concepts and numerical algorithms for a scalable adaptive parallel finite element method
- Flow by mean curvature of convex surfaces into spheres
- Computational parametric Willmore flow
- Semi-implicit level set methods for curvature and surface diffusion motion
- Dimension reduction for the Landau-de Gennes model on curved nematic thin films
- Orientational order on surfaces: the coupling of topology, geometry, and dynamics
- A finite element approach for vector- and tensor-valued surface PDEs
- A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
- An algorithm for the elastic flow of surfaces
- Analysis of a variational model for nematic shells
- Buckling Instability of Viral Capsids—A Continuum Approach
- Nematic liquid crystals on curved surfaces: a thin film limit
- Erratum: The Interplay of Curvature and Vortices in Flow on Curved Surfaces
- Corrigendum: Equilibrium of nematic vesicles (2010 J. Phys. A: Math. Theor. 43 445207)
- A numerical approach for fluid deformable surfaces
- Liquid crystals on deformable surfaces
- Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations
- Finite element methods for surface PDEs
- Ricci-Calculus