36 citations · 56 across the 11 of their papers we have counts for
15 papers
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…
Free boundary regularity for a tumor growth model with obstacle
Giulia Bevilacqua, Matteo Carducci
We develop an existence and regularity theory for solutions to a geometric free boundary problem motivated by models of tumor growth. In this setting, the tumor invades an accessib…
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…
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics
Giulia Bevilacqua, Andrea Giorgini
We study a diffuse interface model describing the complex rheology and the interfacial dynamics during phase separation in a polar liquid-crystalline emulsion. More precisely, the…