2 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.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…