Steady state solutions in a model of a cholesteric liquid crystal sample

DOI10.1007/s13370-020-00851-9zbMath1488.34118OpenAlexW3097405001MaRDI QIDQ821292

Nigel J. Mottram, Michael Grinfeld, Kedtysack Xayxanadasy, João T. Pinto, Fernando Pestana Da Costa

Publication date: 20 September 2021

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/79201/

zbMATH Keywords

bifurcationsFréedericksz transitionnonlinear pendulumasymptotic evaluation of integralscholesteric liquid-crystal cellsnon-homogeneous two-points boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Cites Work

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• Unwinding of a cholesteric liquid crystal and bidirectional surface anchoring
• Global solution branches of two point boundary value problems
• The untwisting of a bounded sample of cholesteric liquid crystal
• Bifurcation analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions
• Bifurcations analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions: the asymmetric case
• Forces and variational compatibility for equilibrium liquid crystal director models with coupled electric fields

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