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- W2156133080 abstract "We investigate prototypical proles of point defects in two dimensional liquid crystals within the framework of Landau-de Gennes theory. Using boundary conditions characteristic of defects of index k=2, we nd a critical point of the Landau-de Gennes energy that is characterised by a system of ordinary dierential equations. In the deep nematic regime, b 2 small, we prove that this critical point is the unique global minimiser of the Landau-de Gennes energy. We investigate in greater detail the regime of vanishing elastic constant L! 0, where we obtain three explicit point defect proles, including the global minimiser." @default.
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- W2156133080 date "2014-03-11" @default.
- W2156133080 modified "2023-09-27" @default.
- W2156133080 title "Proles of point defects in two dimensions in Landau-de Gennes theory" @default.
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