Qualitative aspects in nonlocal dynamics
Pattern Formation and Solitons
2021-10-19 v1
Abstract
In this paper we investigate, through numerical studies, the dynamical evolutions encoded in a linear one-dimensional nonlocal equation arising in peridynamcs. The different propagation regimes ranging from the hyperbolic to the dispersive, induced by the nonlocal feature of the equation, are carefully analyzed. The study of an initial value Riemann-like problem suggests the formation of a singularity.
Cite
@article{arxiv.2106.13596,
title = {Qualitative aspects in nonlocal dynamics},
author = {Giuseppe Maria Coclite and Serena Dipierro and Giuseppe Fanizza and Francesco Maddalena and Marzia Romano and Enrico Valdinoci},
journal= {arXiv preprint arXiv:2106.13596},
year = {2021}
}
Comments
18 pages, 14 figures