36 citations · 56 across the 11 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.AP2023
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…
math.AP2023★ 2 cited
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…
math.AP2023
Geometric invariants of non-smooth framed curves
Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi
We compare the Serret-Frenet frame with a {\em relatively parallel adapted frame} (RPAF) introduced by Bishop to parametrize -curves. Next, we derive the geometric invaria…