Dimension reduction for the Landau-de Gennes model on curved nematic thin films

DOI10.1007/s00332-017-9390-5zbMath1382.35220arXiv1611.03011OpenAlexW2997651296MaRDI QIDQ1685144

Dmitry Golovaty, Peter Sternberg, José Alberto Montero

Publication date: 13 December 2017

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03011

zbMATH Keywords

thin filmGamma-convergenceLandau-de Gennesnematic

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Methods involving semicontinuity and convergence; relaxation (49J45) Liquid crystals (76A15)

Related Items (11)

Nematic Liquid Crystals in a Rectangular Confinement: Solution Landscape, and Bifurcation ⋮ 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 ⋮ Symmetry Properties of Minimizers of a Perturbed Dirichlet Energy with a Boundary Penalization ⋮ Thin film liquid crystals with oblique anchoring and boojums ⋮ 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 ⋮ Surface, size and topological effects for some nematic equilibria on rectangular domains ⋮ Liquid crystals on deformable surfaces ⋮ Solution landscape of a reduced Landau–de Gennes model on a hexagon ⋮ Multistability for a reduced nematic liquid crystal model in the exterior of 2D polygons

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