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- W3104635661 abstract "We investigate the structure of nematic liquid crystal thin films described by the Landau--de Gennes tensor-valued order parameter with Dirichlet boundary conditions of nonzero degree. We prove that as the elasticity constant goes to zero a limiting uniaxial texture forms with disclination lines corresponding to a finite number of defects, all of degree 1/2 or all of degree -1/2. We also state a result on the limiting behavior of minimizers of the Chern-Simons-Higgs model without magnetic field that follows from a similar proof." @default.
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- W3104635661 date "2012-06-21" @default.
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- W3104635661 title "Analysis of Nematic Liquid Crystals with Disclination Lines" @default.
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- W3104635661 doi "https://doi.org/10.1007/s00205-012-0530-7" @default.
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