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.

Duality Theory and Optimal transport for sand piles growing in a silos.

DE PASCALE, LUIGI;
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.
DE PASCALE, Luigi; Jimenez, C.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/651470
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