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This paper deals with the detailed structure of the order-parameter field both close and far from a moving singularity in nematic liquid crystals. We put forward asymptotic expansions that allow to extract from the exact solution the necessary analytical details, at any prescribed order. We also present a simple uniform approximation, which captures the qualitative features of the exact solution in all the domain. This paper is dedicated to the memory of Carlo Cercignani, a master who will be never...
Two parameters seem to be of the essence for the description of the distribution of molecular directions in a nematic: the degrees of prolation and of triaxiality. Fundamental mechanical and optic properties can be expressed in terms of the two parameters.
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