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<p>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 [<CitationRef CitationID="CR5">5</CitationRef>] and by Napoli and Vergori [<CitationRef CitationID="CR11">11</CitationRef>, <CitationRef CitationID="CR12">12</CitationRef>]. Both penalize the area of the surface and the gradient of the director: in [<CitationRef CitationID="CR5">5</CitationRef>] the covariant derivative of the director is considered, while [<CitationRef CitationID="CR11">11</CitationRef>] 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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年12月4日

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  • G. Bevilacqua,
  • C. Lonati,
  • L. Lussardi,
  • A. Marzocchi

摘要

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 [5] and by Napoli and Vergori [11, 12]. Both penalize the area of the surface and the gradient of the director: in [5] the covariant derivative of the director is considered, while [11] 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.