Gradient theory of domain walls in thin, nematic liquid crystals films

DOI10.1142/S0219199719500639zbMath1453.35065arXiv1809.01034OpenAlexW2963434147MaRDI QIDQ5117141

Michał Kowalczyk, Panayotis Smyrnelis, Marcel G. Clerc

Publication date: 20 August 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01034

zbMATH Keywords

phase transitiondomain wallsminimizerliquid crystals

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Variational methods for second-order elliptic equations (35J20)

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Cites Work

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• Symmetry breaking and restoration in the Ginzburg-Landau model of nematic liquid crystals
• The principle of symmetric criticality
• Strong unique continuation property for some second order elliptic systems
• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• The role of Painleve II in predicting new liquid crystal self-assembly mechanisms
• The gradient theory of phase transitions and the minimal interface criterion
• Multi-critical unitary random matrix ensembles and the general Painlevé II equation
• Regularity of flat level sets in phase transitions
• Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation
• Uniform convergence of a singular perturbation problem

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