A differential model for growing sandpiles on networks
Numerical Analysis
2017-05-16 v2 Analysis of PDEs
Abstract
We consider a system of differential equations of Monge-Kantorovich type which describes the equilibrium configurations of granular material poured by a constant source on a network. Relying on the definition of viscosity solution for Hamilton-Jacobi equations on networks, recently introduced by P.-L. Lions and P. E. Souganidis, we prove existence and uniqueness of the solution of the system and we discuss its numerical approximation. Some numerical experiments are carried out.
Cite
@article{arxiv.1702.08697,
title = {A differential model for growing sandpiles on networks},
author = {Simone Cacace and Fabio Camilli and Lucilla Corrias},
journal= {arXiv preprint arXiv:1702.08697},
year = {2017}
}