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On a differential model for growing sandpiles with non-regular sources

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Date
2009
Link to item file
http://hal.archives-ouvertes.fr/hal-00657561/fr/
Dewey
Probabilités et mathématiques appliquées
Sujet
Uniqueness of solutions; Granular matter; Distance function; Asymptotic profile,
Journal issue
Communications in Partial Differential Equations
Volume
34
Number
7
Publication date
2009
Article pages
656-675
Publisher
Taylor & Francis
URI
https://basepub.dauphine.fr/handle/123456789/7862
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Sinestrari, Carlo
Cannarsa, Piermarco
Cardaliaguet, Pierre
Type
Article accepté pour publication ou publié
Abstract (EN)
We consider a variational model that describes the growth of a sandpile on a bounded table under the action of a vertical source. The possible equilibria of such a model solve a boundary value problem for a system of nonlinear partial differential equations that we analyse when the source term is merely integrable. In addition, we study the asymptotic behavior of the dynamical problem showing that the solution converges asymptotically to an equilibrium that we characterise explicitly.

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