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

Sinestrari, Carlo; Cannarsa, Piermarco; Cardaliaguet, Pierre (2009), On a differential model for growing sandpiles with non-regular sources, Communications in Partial Differential Equations, 34, 7, p. 656-675

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00657561/fr/
Date
2009
Journal name
Communications in Partial Differential Equations
Volume
34
Number
7
Publisher
Taylor & Francis
Pages
656-675
Metadata
Show full item record
Author(s)
Sinestrari, Carlo
Cannarsa, Piermarco
Cardaliaguet, Pierre
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.
Subjects / Keywords
Uniqueness of solutions; Granular matter; Distance function; Asymptotic profile,

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