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arXiv:1501.01092 [math.AP]AbstractReferencesReviewsResources

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

Luigi De Pascale, Chloé Jimenez

Published 2015-01-06Version 1

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.

Categories: math.AP
Subjects: 49Q20, 35K20, 35K55, 47J20, 49K30, 35B99
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