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 solves a boundary value problem for a system of nonlinear partial differential equations that we analyze 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 characterize explicitly.
CANNARSA, P., CARDALIAGUET, P., & SINESTRARI, C. (2009). On a differential model for growing sandpiles with non-regular sources. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 343, 656-675.
Tipologia: | Articolo su rivista |
Citazione: | CANNARSA, P., CARDALIAGUET, P., & SINESTRARI, C. (2009). On a differential model for growing sandpiles with non-regular sources. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 343, 656-675. |
URL: | http://dx.doi.org/10.1080/03605300902909966 |
IF: | Con Impact Factor ISI |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1080/03605300902909966 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2009 |
Titolo: | On a differential model for growing sandpiles with non-regular sources |
Autori: | |
Autori: | CANNARSA, P; CARDALIAGUET, P; SINESTRARI, C |
Appare nelle tipologie: | 01 - Articolo su rivista |
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