NUMERICAL BIFURCATION OF EQUILIBRIA OF NEMATIC CRYSTALS BETWEEN NON-CO-AXIAL CYLINDERS

DOI10.1142/S0218202501000933zbMath1035.76004MaRDI QIDQ4798870

Bernard D. Coleman, François Alouges

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Dirichlet energyliquid crystalsstable equilibrium statesminimizing mapsfinite element projected gradient methodminimizing director fieldone-constant theory

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

Newton and conjugate gradient for harmonic maps from the disc into the sphere

Cites Work

• Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders
• On the uniqueness of minimizing harmonic maps to a closed hemisphere
• A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case

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