1 citations · 1 across the 3 of their papers we have counts for
6 papers
Dissolution and nucleation of jump discontinuities for one-dimensional periodic peridynamic waves
Giuseppe Maria Coclite, Serena Dipierro, Francesco Maddalena +2
We analyze solutions to a one-dimensional periodic linear model for peridynamic waves, focusing on the setting where the natural energy space allows for spatial discontinuities. Ex…
Scaling limits for Moran processes on metric strategy spaces: an Eulerian derivation of pure replicator and Fleming--Viot measure-valued PDEs
Stefano Almi, Riccardo Durastanti, Marco Morandotti +2
We study the large-population limit of a discrete-time Moran process featuring multiple strategies, drawn from a possibly infinite strategy space (a metric space), un…
Frequency-dependent damping in the linear wave equation
Francesco Maddalena, Gianluca Orlando
We propose a model for frequency-dependent damping in the linear wave equation. After proving well-posedness of the problem, we study qualitative properties of the energy. In the o…
Replicator dynamics as the large population limit of a discrete Moran process in the weak selection regime: A proof via Eulerian specification
Marco Morandotti, Gianluca Orlando
We study the large population limit of a multi-strategy discrete-time Moran process in the weak selection regime. We show that the replicator dynamics is interpreted as the large-p…
Comparison between solutions to the linear peridynamics model and solutions to the classical wave equation
Giuseppe Maria Coclite, Serena Dipierro, Francesco Maddalena +2
In this paper, we consider an equation inspired by linear peridynamics and we establish its connection with the classical wave equation. In particular, given a horizon accoun…
Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings
Giuseppe Maria Coclite, Nicola De Nitti, Francesco Maddalena +2
We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modelling a one-dimensional linearly elastic body…