Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

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 on 06 Jan 2015



Inserted: 30 dec 2014
Last Updated: 6 jan 2015

Pages: 24
Year: 2014


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.


Credits | Cookie policy | HTML 4.0.1 strict | CSS 2.1