1 citations · 1 across the 9 of their papers we have counts for
10 papers
Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation
Pierluigi Cesana, Edoardo Fabbrini, Andrés A. León Baldelli +1
We present a numerical formulation for the resolution of finite systems of interacting edge dislocations and wedge disclinations. The approach is based on a finite element discreti…
Equilibrium and Interaction Regimes in Mixed Disclination-Dislocation Systems
Pierluigi Cesana, Marco Morandotti, Aldo Sambo
We investigate equilibrium configurations and dissipative dynamics of simplified disclination--dislocation systems in planar elasticity. We consider an edge dislocation interacting…
Effective Dynamics of Disclination Pairs
Nicolò Briatico, Pierluigi Cesana, Marco Morandotti
The dissipative dynamics of a pair of wedge disclinations with opposite Frank angles confined to a circular domain is investigated under the assumption of radially symmetric motion…
Minimizers of one-dimensional regularization problems with linear and nonlinear total variation
Luca Lussardi, Marco Morandotti, Federico Stra
A study of the minimizers of one-dimensional Rudin-Osher-Fatemi-type functionals with linear or nonlinear total variation and fidelity term is undertaken. Conditions on the input d…
Stabilization of solutions to a model of Langmuir-Blodgett films
Marco Morandotti, Piotr Rybka, Glen Wheeler
We show stabilisation of solutions to one-dimensional advective Cahn-Hilliard equation modeling the Langmuir-Blodgett thin films. This problem has the structure of a gradient flow…
Variational formulation of planar linearized elasticity with incompatible kinematics
Pierluigi Cesana, Edoardo Fabbrini, Marco Morandotti
We present a variational characterization of mechanical equilibrium in the planar strain regime for systems with incompatible kinematics. For non-simply connected domains, we show…
Geometrically constrained walls in three dimensions
Riccardo Cristoferi, Gabriele Fissore, Marco Morandotti
We study geometrically constrained magnetic walls in a three dimensional geometry where two bulks are connected by a thin neck. Without imposing any symmetry assumption on the doma…
Space-time evolution of Volterra disclinations
Pierluigi Cesana, Alfio Grillo, Marco Morandotti +1
The dynamics of a system of particles subject to a 4th order potential field modeling the space-time evolution of wedge disclinations is studied, focusing on finite systems of disc…
Calibrating the Heston model with deep differential networks
Giovanni Amici, Marco Morandotti, Chen Zhang
We propose a gradient-based deep learning framework to calibrate the Heston option pricing model (Heston, 1993). Our neural network, henceforth deep differential network (DDN), lea…
Characterizing BV- and BD-ellipticity for a class of positively 1-homogeneous surface energy densities
Dominik Engl, Carolin Kreisbeck, Marco Morandotti
Lower semicontinuity of surface energies in integral form is known to be equivalent to BV-ellipticity of the surface density. In this paper, we prove that BV-ellipticity coincides…