2 citations · 4 across the 5 of their papers we have counts for
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Existence and uniqueness of minimizers for axisymmetric nematic films
Giulia Bevilacqua, Chiara Lonati, Luca Lussardi +1
Nematic surfaces are thin liquid films endowed with in-plane orientational order. We study a variational model in which the nematic director is constrained to lie in the tangent sp…
A variational analysis of nematic axisymmetric films: the covariant derivative case
Giulia Bevilacqua, Chiara Lonati, Luca Lussardi +1
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…
Effects of surface tension and elasticity on critical points of the Kirchhoff-Plateau problem
Giulia Bevilacqua, Chiara Lonati
We introduce a modified Kirchhoff-Plateau problem adding an energy term to penalize shape modifications of the cross-sections appended to the elastic midline. In a specific setting…