Duality Theory and Optimal transport for sand piles growing in a silos
| Autor: | Luigi De Pascale, Chloé Jimenez |
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| Jazyk: | angličtina |
| Rok vydání: | 2015 |
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| Zdroj: | Adv. Differential Equations 20, no. 9/10 (2015), 859-886 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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