Geodesic
Asymptotic Director Fields of Moving Defects in Nematic Liquid Crystals
Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 1, pp. 81-91.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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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Biscari, Paolo; Turzi, Stefano. Asymptotic Director Fields of Moving Defects in Nematic Liquid Crystals. Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 1, pp. 81-91. http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_1_a3/

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