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The Landau-de Gennes theory of nematic liquid crystals: uniaxiality versus biaxiality

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Publication:1947921
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DOI10.3934/cpaa.2012.11.1303zbMath1282.35311arXiv1002.1293OpenAlexW2995213727MaRDI QIDQ1947921

Apala Majumdar

Publication date: 29 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1293


zbMATH Keywords

Ginzburg-LandauLandau-de Gennessingular set


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15)


Related Items (8)

Higher dimensional Ginzburg-Landau equations under weak anchoring boundary conditions ⋮ Orientability and asymptotic convergence of \(Q\)-tensor flow of biaxial nematic liquid crystals ⋮ Revisiting the Two-Dimensional Defect-Free Azimuthal Nematic Equilibrium on an Annulus ⋮ A Landau-de Gennes theory of liquid crystal elastomers ⋮ Remarks on uniaxial solutions in the Landau-de Gennes theory ⋮ Front Propagation at the Nematic-Isotropic Transition Temperature ⋮ A stable scheme and its convergence analysis for a 2D dynamic Q-tensor model of nematic liquid crystals ⋮ Weak anchoring for a two-dimensional liquid crystal




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