18 citations · 51 across the 26 of their papers we have counts for
36 papers
A Comprehensive Approach via Global Relaxation to the Variational Modelling of Hierarchical Structured Deformations
Ana Cristina Barroso, José Matias, Marco Morandotti +2
The response of many materials to applied forces and boundary constraints depends upon internal geometric changes at multiple submacroscopic levels. Hierarchical structured deforma…
Measure structured deformations
stefan Krömer, Martin Kružík, Marco Morandotti +1
Measure structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure structured deformation is defined via r…
-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…
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…
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…
An alternate Lagrangian scheme for spatially inhomogeneous evolutionary games
Stefano Almi, Marco Morandotti, Francesco Solombrino
An alternate Lagrangian scheme at discrete times is proposed for the approximation of a nonlinear continuity equation arising as a mean-field limit of spatially inhomogeneous evolu…
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…
Mean-field analysis of multi-population dynamics with label switching
Marco Morandotti, Francesco Solombrino
The mean-field analysis of a multi-population agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markow-type jump process on…
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…
Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films
Marco Bonacini, Elisa Davoli, Marco Morandotti
An advective Cahn-Hilliard model motivated by thin film formation is studied in this paper. The one-dimensional evolution equation under consideration includes a transport term, wh…
Upscaling of screw dislocations with increasing tangential strain
Ilaria Lucardesi, Marco Morandotti, Riccardo Scala +1
The upscaling of a system of screw dislocations in a material subject to an external strain is studied. The -limit of a suitable rescaling of the renormalized energy is characte…
Discrete-to-continuum limits of particles with an annihilation rule
Patrick van Meurs, Marco Morandotti
In the recent trend of extending discrete-to-continuum limit passages for gradient flows of single-species particle systems with singular and nonlocal interactions to particles of…
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.…
Qualitative and quantitative properties of the dynamics of screw dislocations
Marco Morandotti
This note collects some results on the behaviour of screw dislocation in an elastic medium. By using a semi-discrete model, we are able to investigate two specific aspects of the d…
Boundary Behaviour and Confinement of Screw Dislocations
Marco Morandotti
In this note we discuss two aspects of screw dislocations dynamics: their behavior near the boundary and a way to confine them inside the material. In the former case, we obtain an…
Properties of screw dislocation dynamics: time estimates on boundary and interior collisions
Thomas Hudson, Marco Morandotti
In this paper, the dynamics of a system of a finite number of screw dislocations is studied. Under the assumption of antiplane linear elasticity, the two-dimensional dynamics is de…
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…