The role of Painleve II in predicting new liquid crystal self-assembly mechanisms

DOI10.1007/S00205-017-1162-8zbMath1393.35210OpenAlexW2746706557MaRDI QIDQ1702441

William C. Troy

Publication date: 28 February 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-017-1162-8

zbMATH Keywords

asymptoticsnematic liquid crystalsshooting methodPainleve equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Soliton solutions (35C08)

Related Items (7)

Open problems for Painlevé equations ⋮ Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations ⋮ Gradient theory of domain walls in thin, nematic liquid crystals films ⋮ Vortex-filament solutions in the Ginzburg-Landau-Painlevé theory of phase transition ⋮ On the quasi-Ablowitz–Segur and quasi-Hastings–McLeod solutions of the inhomogeneous Painlevé II equation ⋮ Singular asymptotics for solutions of the inhomogeneous Painlevé II equation ⋮ The connecting solution of the Painlevé phase transition model

Cites Work

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• The existence of similar solutions for some laminar boundary layer problems
• Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
• ENERGY EXPANSION AND VORTEX LOCATION FOR A TWO-DIMENSIONAL ROTATING BOSE–EINSTEIN CONDENSATE

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