Showing math.APShow all
3 papers · 1 filter
math.AP2026
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…
math.AP2025
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…
math.AP2024
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…