7 papers
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…
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…
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…
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…
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…
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…