18 citations · 51 across the 26 of their papers we have counts for
16 papers · 1 filter
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…
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…
Controlling non-controllable scallops
Marta Zoppello, Marco Morandotti, Hermes Bloomfield-Gadêlha
Any swimmer embedded on a inertialess fluid must perform a non-reciprocal motion to swim forward. The archetypal demonstration of this unique motion-constraint was introduced by Pu…
Mean-field selective optimal control via transient leadership
Giacomo Albi, Stefano Almi, Marco Morandotti +1
A mean-field selective optimal control problem of multipopulation dynamics via transient leadership is considered. The agents in the system are described by their spatial position…
The -link swimmer in three dimensions: controllability and optimality results
Roberto Marchello, Marco Morandotti, Henry Shum +1
The controllability of a fully three-dimensional -link swimmer is studied. After deriving the equations of motion in a low Reynolds number fluid by means of Resistive Force Theo…
Upscaling and spatial localization of non-local energies with applications to crystal plasticity
José Matias, Marco Morandotti, David R. Owen +1
We describe multiscale geometrical changes via structured deformations and the non-local energetic response at a point via a function of the weighted averages of th…
Spatially Inhomogeneous Evolutionary Games
Luigi Ambrosio, Massimo Fornasier, Marco Morandotti +1
We introduce and study a mean-field model for a system of spatially distributed players interacting through an evolutionary game driven by a replicator dynamics. Strategies evolve…
Dimension reduction in the context of structured deformations
Graça Carita, José Matias, Marco Morandotti +1
In this paper we apply both the procedure of dimension reduction and the incorporation of structured deformations to a three-dimensional continuum in the form of a thinning domain.…
Structured Deformations of Continua: Theory and Applications
Marco Morandotti
The scope of this contribution is to present an overview of the theory of structured deformations of continua, together with some applications. Structured deformations aim at being…
Optimal Design of Fractured Media with Prescribed Macroscopic Strain
José Matias, Marco Morandotti, Elvira Zappale
In this work we consider an optimal design problem for two-component fractured media for which a macroscopic strain is prescribed. Within the framework of structured deformations,…
Second-order structured deformations: relaxation, integral representation and applications
Ana Cristina Barroso, José Matias, Marco Morandotti +1
Second-order structured deformations of continua provide an extension of the multiscale geometry of first-order structured deformations by taking into account the effects of submac…
A model for the quasistatic growth of cracks with fractional dimension
Gianni Dal Maso, Marco Morandotti
We study a variational model for the quasistatic growth of cracks with fractional di- mension in brittle materials. We give a minimal set of properties of the collection of admissi…
Homogenization problems in the Calculus of Variations: an overview
José Matias, Marco Morandotti
In this note we present a brief overview of variational methods to solve homogenization problems. The purpose is to give a first insight on the subject by presenting some fundament…
One-dimensional swimmers in viscous fluids: dynamics, controllability, and existence of optimal controls
Gianni Dal Maso, Antonio DeSimone, Marco Morandotti
In this paper we study a mathematical model of one-dimensional swimmers performing a planar motion while fully immersed in a viscous fluid. The swimmers are assumed to be of small…