12 citations · 12 across the 6 of their papers we have counts for
6 papers
-convergence of discrete energies modeling self-aggregation of stochastic particles
Luca Lussardi, Anderson Melchor Hernandez, Marco Morandotti
In this work, we demonstrate that a functional modeling the self-aggregation of stochastically distributed lipid molecules can be obtained as the -limit of a family of discrete…
Optimal control problems in transport dynamics with additive noise
Stefano Almi, Marco Morandotti, Francesco Solombrino
Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one…
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…
Renormalized Energy and Peach-Köhler Forces for Screw Dislocations with Antiplane Shear
Timothy Blass, Marco Morandotti
We present a variational framework for studying screw dislocations subject to antiplane shear. Using a classical model developed by Cermelli and Gurtin, methods of Calculus of Vari…
Homogenization of functional with linear growth in the context of -quasiconvexity
José Matias, Marco Morandotti, Pedro M. Santos
This work deals with the homogenization of functionals with linear growth in the context of -quasiconvexity. A representation theorem is proved, where the new integran…
Global minimizers for axisymmetric multiphase membranes
Rustum Choksi, Marco Morandotti, Marco Veneroni
We consider a Canham-Helfrich-type variational problem defined over closed surfaces enclosing a fixed volume and having fixed surface area. The problem models the shape of multipha…