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

Luigi De Pascale; Chloé Jimenez

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arXiv · 1501.01092

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

Luigi De Pascale·Chloé Jimenez

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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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Luigi De Pascale, Chloé Jimenez. 2015-01-06. Duality theory and optimal transport for sand piles growing in a silos. https://arxiv.org/abs/1501.01092

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