36 citations · 56 across the 11 of their papers we have counts for
3 papers · 2 filters
Soap films: from the Plateau problem to deformable boundaries
Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi
A review on the classical Plateau problem is presented. Then, the state of the art about the Kirchhoff-Plateau problem is illustrated as well as some possible future directions of…
Classical solutions to the soap film capillarity problem for plane boundaries
Giulia Bevilacqua, Salvatore Stuvard, Bozhidar Velichkov
We study the soap film capillarity problem, in which soap films are modeled as sets of least perimeter among those having prescribed (small) volume and satisfying a topological spa…
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…