A MATHEMATICAL STUDY OF A BISTABLE NEMATIC LIQUID CRYSTAL DEVICE

DOI10.1142/S0218202507002546zbMath1156.35320MaRDI QIDQ3502917

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

Publication date: 20 May 2008

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

zbMATH Keywords

well-posednessnonlinear boundary conditionsswitchingEricksen-Leslie theoryaveraging theorydynamic boundary conditions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Bifurcations in context of PDEs (35B32)

Cites Work

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• Averaging in infinite dimensions
• A degenerate reaction diffusion system modelling an optical biosensor
• Continuum theory for nematic liquid crystals with tensorial order
• Quasilinear parabolic systems with dynamical boundary conditions
• Evolution equations with dynamic boundary conditions
• The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor
• Sturm–Liouville problems with eigenparameter dependent boundary conditions
• Modeling anisotropic fluids within the framework of bodies with multiple natural configurations

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