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

Sinestrari, Carlo; Cannarsa, Piermarco; Cardaliaguet, Pierre

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

Number

Publisher

Taylor & Francis

Pages

656-675

Metadata

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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,