3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2024
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 accou…