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math.AP2022★ 3 cited
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…
math.OC2022
Direct minimization of the Canham--Helfrich energy on generalized Gauss graphs
Anna Kubin, Luca Lussardi, Marco Morandotti
The existence of minimizers of the Canham--Helfrich functional in the setting of generalized Gauss graphs is proved. As a first step, the Canham--Helfrich functional, usually defin…