Multistability for a reduced nematic liquid crystal model in the exterior of 2D polygons

DOI10.1007/s00332-022-09884-9OpenAlexW4313560553MaRDI QIDQ2111504

Yucen Han, Apala Majumdar

Publication date: 17 January 2023

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

Full work available at URL: https://arxiv.org/abs/2112.05511

zbMATH Keywords

nematic liquid crystalsLandau-de Gennesmultistabilityexterior of a polygon

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Statistical mechanics, structure of matter (82-XX)

Uses Software

• Schwarz-Christoffel
• FEniCS
• SC Toolbox
• SyFi

Cites Work

• Schwarz-Christoffel
• Automated solution of differential equations by the finite element method. The FEniCS book
• Dimension reduction for the Landau-de Gennes model on curved nematic thin films
• Order reconstruction patterns in nematic liquid crystal wells
• Order Reconstruction for Nematics on Squares and Hexagons: A Landau--de Gennes Study
• On the Zeros of Solutions to Ginzburg–Landau Type Systems
• A Reduced Study for Nematic Equilibria on Two-Dimensional Polygons
• Schwarz-Christoffel Mapping
• Solution landscape of a reduced Landau–de Gennes model on a hexagon
• Surface, size and topological effects for some nematic equilibria on rectangular domains

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