On the differential model of sandpiles growing in a silo
- Authors: Crasta G.1, Malusa A.1
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Affiliations:
- Sapienza Universita` di Roma
- Issue: Vol 71, No 4 (2025)
- Pages: 626-641
- Section: Articles
- URL: https://journals.rcsi.science/2413-3639/article/view/374076
- DOI: https://doi.org/10.22363/2413-3639-2025-71-4-626-641
- EDN: https://elibrary.ru/MEOFVV
- ID: 374076
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Abstract
We discuss some features of a boundary value problem for a system of PDEs that describes the growth of a sandpile in a container under the action of a vertical source. In particular, we characterize the long-term behavior of the profiles, and we provide a sufficient condition on the vertical source that guarantees the convergence to the equilibrium in a finite time. We show by counterexamples that a stable configuration may not be reached in a finite time, in general, even if the source is timeindependent. Finally, we provide a complete characterization of the equilibrium profiles.
About the authors
Graziano Crasta
Sapienza Universita` di Roma
Author for correspondence.
Email: graziano.crasta@uniroma1.it
ORCID iD: 0000-0003-3673-6549
Scopus Author ID: 6701399771
ResearcherId: B-4831-2008
Roma, Italy
Annalisa Malusa
Sapienza Universita` di Roma
Email: annalisa.malusa@uniroma1.it
ORCID iD: 0000-0002-5692-1904
Scopus Author ID: 8931165700
ResearcherId: G-8227-2012
Roma, Italy
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