14 citations · 22 across the 5 of their papers we have counts for
6 papers
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…
Elastic membranes spanning deformable boundaries
Francesco Ballarin, Giulia Bevilacqua, Luca Lussardi +1
We perform a variational analysis of an elastic membrane spanning a closed curve which may sustain bending and torsion. First, we deal with parametrized curves and linear elastic m…
Variational analysis of inextensible elastic curves
Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi
We minimize elastic energies on framed curves which penalize both curvature and torsion. We also discuss critical points using the infinite dimensional version of the Lagrange mult…
Soap film spanning an elastic link
Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi
We study the equilibrium problem of a system consisting by several Kirchhoff rods linked in an arbitrary way and tied by a soap film, using techniques of the Calculus of Variations…
Nonlinear free fall of one-dimensional rigid bodies in hyperviscous fluids
Giulio G. Giusteri, Alfredo Marzocchi, Alessandro Musesti
We consider the free fall of slender rigid bodies in a viscous incompressible fluid. We show that the dimensional reduction (DR), performed by substituting the slender bodies with…
Steady free fall of one-dimensional bodies in a hyperviscous fluid at low Reynolds number
Giulio G. Giusteri, Alfredo Marzocchi, Alessandro Musesti
The paper is devoted to the study of the motion of one-dimensional rigid bodies during a free fall in a quasi-Newtonian hyperviscous fluid at low Reynolds number. We show the exist…