Stability of half-degree point defect profiles for 2-D nematic liquid crystal

DOI10.3934/dcds.2017269zbMath1370.76013arXiv1601.02845OpenAlexW2963565348MaRDI QIDQ2402892

Zhiyuan Geng, Pingwen Zhang, Wei Wang, Zhifei Zhang

Publication date: 15 September 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02845

zbMATH Keywords

monotonicitystabilityliquid crystalLandau-de Gennes modelpoint defect

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Boundary value problems for second-order elliptic systems (35J57)

Related Items (2)

Unique continuation for stationary and dynamical \(Q\)-tensor system of nematic liquid crystals in dimension three ⋮ Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model

Cites Work

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