18 citations · 51 across the 26 of their papers we have counts for
5 papers · 1 filter
Mean-field limits for entropic multi-population dynamical systems
Stefano Almi, Claudio D'Eramo, Marco Morandotti +1
The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set…
The variational modeling of hierarchical structured deformations
Ana Cristina Barroso, José Matias, Marco Morandotti +2
Hierarchical (first-order) structured deformations are studied from the variational point of view. The main contributions of the present research are the first steps, at the theore…
Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method
Pierluigi Cesana, Lucia De Luca, Marco Morandotti
We present a variational theory for lattice defects of rotational and translational type. We focus on finite systems of planar wedge disclinations, disclination dipoles, and edge d…
Periodic homogenization in the context of structured deformations
Micol Amar, José Matias, Marco Morandotti +1
An energy for first-order structured deformations in the context of periodic homogenization is obtained. This energy, defined in principle by relaxation of an initial energy of int…
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…