In this paper we deal with theoretical and numerical aspects of some nonlinear problems related to sandpile models. We introduce a purely discrete model for infinitely many particles interacting according to a toppling process on a uniform two-dimensional grid and prove the convergence of the solutions to a differential initial value problem.
On a discrete self-organized-criticality finite time result / Mosco, Umberto; Vivaldi, Maria Agostina. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 40:8(2020), pp. 5079-5103. [10.3934/dcds.2020212]
On a discrete self-organized-criticality finite time result
VIVALDI ,MARIA AGOSTINA
2020
Abstract
In this paper we deal with theoretical and numerical aspects of some nonlinear problems related to sandpile models. We introduce a purely discrete model for infinitely many particles interacting according to a toppling process on a uniform two-dimensional grid and prove the convergence of the solutions to a differential initial value problem.File allegati a questo prodotto
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