The effect of external fields in the theory of liquid crystals

DOI10.3836/tjm/1342701350zbMath1250.82048OpenAlexW1973109544MaRDI QIDQ447812

Junichi Aramaki

Publication date: 29 August 2012

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1342701350

zbMATH Keywords

variational problemliquid crystalsLandau-de Gennes functional

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Statistical mechanics of superconductors (82D55) Critical phenomena in equilibrium statistical mechanics (82B27) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items

Freedericksz Transition in Nematic Liquid Crystal Flows in Dimension Two ⋮ Stability and asymptotics in nematic liquid crystals under a small Dirichlet data and a non-constant magnetic field

Cites Work

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• Critical elastic coefficient of liquid crystals and hysteresis
• Existence and partial regularity of static liquid crystal configurations
• Landau-de Gennes model of liquid crystals and critical wave number
• The phase transition between chiral nematic and smectic \(A^*\) liquid crystals
• Magnetic Field‐Induced Instabilities in Liquid Crystals
• Finite Element Methods for Navier-Stokes Equations
• The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg--Landau Model