Duality theory and optimal transport for sand piles growing in a silos
Analysis of PDEs
2015-05-08 v2
Abstract
We prove existence and uniqueness of solutions for a system of PDEs which describes the growth of a sandpile in a silos with flat bottom under the action of a vertical, measure source. The tools we use are a discrete approximation of the source and the duality theory for optimal transport (or Monge-Kantorovich) problems.
Keywords
Cite
@article{arxiv.1501.01092,
title = {Duality theory and optimal transport for sand piles growing in a silos},
author = {Luigi De Pascale and Chloé Jimenez},
journal= {arXiv preprint arXiv:1501.01092},
year = {2015}
}