Preprint

Inserted: 30 dec 2014
Last Updated: 8 sep 2017

Journal: Adv. Differential Equations
Pages: 24
Year: 2015

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.

Download:

• Preprint.SandPiles30_12.pdf