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
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00657561/fr/
Journal nameCommunications in Partial Differential Equations
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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 / KeywordsUniqueness of solutions; Granular matter; Distance function; Asymptotic profile,
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Hölder regularity of the normal distance with an application to a PDE model for growing sandpiles. Cannarsa, Piermarco; Giorgieri, Elena; Cardaliaguet, Pierre (2007) Article accepté pour publication ou publié