Calculus of Variations and Geometric Measure Theory
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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

[BibTeX]

Preprint

Inserted: 30 dec 2014
Last Updated: 6 jan 2015

Pages: 24
Year: 2014

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.


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