In this paper, we investigate, through numerical studies, the dynamical evolutions encoded in a linear one-dimensional nonlocal equation arising in peridynamics. 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.
Qualitative Aspects in Nonlocal Dynamics / Coclite, G. M.; Dipierro, S.; Fanizza, G.; Maddalena, F.; Romano, M.; Valdinoci, E.. - In: JOURNAL OF PERIDYNAMICS AND NONLOCAL MODELING. - ISSN 2522-896X. - STAMPA. - 5:(2023), pp. 1-19. [10.1007/s42102-021-00064-z]
Qualitative Aspects in Nonlocal Dynamics
Coclite G. M.;Maddalena F.;Romano M.;
2023-01-01
Abstract
In this paper, we investigate, through numerical studies, the dynamical evolutions encoded in a linear one-dimensional nonlocal equation arising in peridynamics. 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
