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Carnegie Mellon NSF logoCenter for Nonlinear Analysis
Arghir Zarnescu
Afilliation: University of Sussex

Title: Specific tensorial features in the modelling of nematic liquid crystals

Abstract: Nematic liquid crystals are modelled mathematically using either: unit-length vectors in the Oseen-Frank theory (2 degrees of freedom), scalars and unit-length vectors in Ericksen theory (3 degrees of freedom) or symmetric and traceless 3x3 matrices in Landau-de Gennes theory (5 degrees of freedom). We will look into specific features of nematics that require a tensorial description, with an emphasis on the interpretation of defects in various theories.