Surface, size and topological effects for some nematic equilibria on rectangular domains

DOI10.1177/1081286520902507zbMath1481.76024OpenAlexW3008916460MaRDI QIDQ5133795

Lidong Fang, Lei Zhang, Apala Majumdar

Publication date: 11 November 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/73006/

zbMATH Keywords

bifurcation diagramdefectnematic liquid crystalasymptotic limitLandau-de Gennes modelwell order reconstruction solution

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15)

Related Items (7)

Hierarchies of critical points of a Landau-de Gennes free energy on three-dimensional cuboids ⋮ Nematic Liquid Crystals in a Rectangular Confinement: Solution Landscape, and Bifurcation ⋮ One-Dimensional Ferronematics in a Channel: Order Reconstruction, Bifurcations, and Multistability ⋮ A Multifaceted Study of Nematic Order Reconstruction in Microfluidic Channels ⋮ A Reduced Study for Nematic Equilibria on Two-Dimensional Polygons ⋮ Pattern formation for nematic liquid crystals -- modelling, analysis, and applications ⋮ Multistability for a reduced nematic liquid crystal model in the exterior of 2D polygons

Cites Work

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