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math.AP2023★ 1 cited
Dispersive effects in two- and three-dimensional peridynamics
Alessandro Coclite, Giuseppe Maria Coclite, Giuseppe Fanizza +1
In this paper we study the dispersive properties related to a model of peridynamic evolution, governed by a non local initial value problem, in the cases of two and three spatial d…
math.AP2021★ 17 cited
Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics
Giuseppe Maria Coclite, Serena Dipierro, Giuseppe Fanizza +2
We study the dispersive properties of a linear equation in one spatial dimension which is inspired by models in peridynamics. The interplay between nonlocality and dispersion is an…