4 papers · 1 filter
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…
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…
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…