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Eigenframe discontinuities, commutators and nematic defects

Presented by: 
AD Zarnescu University of Sussex
Date: 
Tuesday 9th April 2013 - 14:00 to 15:00
Abstract: 
In the framework of De Gennes' Q-tensor theory of nematics one can interpret defects as eigenframe discontinuities. A significant analytical difficulty related to understanding these discontinuities is due to the rather complicated relation between the multiparameter dependent matrices and their parametrized eigenvectors. We present necessary and sufficient criteria for determining eigenframe discontinuities (criteria expressed in terms of suitable commutators) as well as some consequences. This is joint work with Jonathan Robbins and Valeriy Slastikov.
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University of Cambridge Research Councils UK
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