arXiv Open Access 2025

On a Differential Model for Sandpiles Growing in a Silo

Graziano Crasta Annalisa Malusa

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Abstrak

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 time-independent. Finally, we provide a complete characterization of the equilibrium profiles.

Topik & Kata Kunci

math.AP

Penulis (2)

Graziano Crasta

Annalisa Malusa

Format Sitasi

APA MLA BibTeX

Crasta, G., Malusa, A. (2025). On a Differential Model for Sandpiles Growing in a Silo. https://arxiv.org/abs/2509.24618

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓