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arXiv · 2405.20154

A variational analysis of nematic axisymmetric films: the covariant derivative case

Giulia Bevilacqua·Chiara Lonati·Luca Lussardi·Alfredo Marzocchi
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Abstract

Nematic surfaces are thin fluid structures, ideally two-dimensional, endowed with an in-plane nematic order. In 2012, two variational models have been introduced by Giomi [11] and by Napoli and Vergori [29,28]. Both penalize the area of the surface and the gradient of the director: in [11] the covariant derivative of the director is considered, while [28] deals with the surface gradient. In this paper, a complete variational analysis of the model proposed by Giomi is performed for revolution surfaces spanning two coaxial rings.

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Giulia Bevilacqua, Chiara Lonati, Luca Lussardi, Alfredo Marzocchi. 2024-05-30. A variational analysis of nematic axisymmetric films: the covariant derivative case. https://arxiv.org/abs/2405.20154

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