Bifurcation analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions

DOI10.1017/S0956792509007827zbMath1187.82131OpenAlexW4240384263MaRDI QIDQ3633302

Michael Grinfeld, João T. Pinto, Eugene C. Gartland jun., Fernando Pestana Da Costa

Publication date: 18 June 2009

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792509007827

zbMATH Keywords

Fréedericksz transitionliquid crystalpitchfork bifurcationphase-space analysis

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Critical phenomena in equilibrium statistical mechanics (82B27) Bifurcations in context of PDEs (35B32) Statistical mechanics of magnetic materials (82D40)

Related Items

Steady state solutions in a model of a cholesteric liquid crystal sample ⋮ Bifurcations analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions: the asymmetric case ⋮ Continuum electromechanical theory for nematic continua with application to Freedericksz instability

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• Global bifurcation of steady-state solutions
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• Heteroclinic orbits of semilinear parabolic equations