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• W2125308897 abstract "We consider the relationship between three continuum liquid crystal theories: Oseen-Frank, Ericksen and Landau-de Gennes. It is known that the function space is an important part of the mathematical model and by considering various function space choices for the order parameters $s$, ${bf n}$, and ${bf Q}$, we establish connections between the variational formulations of these theories. We use these results to derive a version of the Oseen-Frank theory using special functions of bounded variation. This proposed model can describe both orientable and non-orientable defects. Finally we study a number of frustrated nematic and cholesteric liquid crystal systems and show that the model predicts the existence of point and surface discontinuities in the director." @default.
• W2125308897 created "2016-06-24" @default.
• W2125308897 creator A5057959478 @default.
• W2125308897 date "2015-08-19" @default.
• W2125308897 modified "2023-10-17" @default.
• W2125308897 title "Function Spaces for Liquid Crystals" @default.
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• W2125308897 doi "https://doi.org/10.1007/s00205-015-0913-7" @default.
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