Biscari, Turzi: Asymptotic Director Fields of Moving Defects in Nematic Liquid Crystals

Biscari, Paolo and Turzi, Stefano:
Asymptotic Director Fields of Moving Defects in Nematic Liquid Crystals
Bollettino dell'Unione Matematica Italiana Serie 9 5 (2012), fasc. n.1, p. 81-91, (English)
pdf (449 Kb), djvu (153 Kb). | MR 2919649 | Zbl 1260.82082

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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 praised enough for both his scientific achievements and the way he taught how research is to be conducted.

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bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

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Referenze Bibliografiche