Calculus of Variations and Geometric Measure Theory

L. De Pascale - C. Jimenez

Duality theory and optimal transport for sand piles growing in a silos

created by depascal on 30 Dec 2014
modified by jimenez on 08 Sep 2017



Inserted: 30 dec 2014
Last Updated: 8 sep 2017

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


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.