Author： Cannarsa Piermarco
Publisher： Taylor & Francis Ltd
ISSN： 0360-5302
Source： Communications in Partial Differential Equations, Vol.34, Iss.7, 2009-07, pp. : 656-675
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
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.
Related content
Discrete & Computational Geometry, Vol. 37, Iss. 3, 2007-03 ,pp. :
Access to resources
Recommend
Fast/Slow Diffusion and Growing Sandpiles
By Aronsson G. Evans L.C. Wu Y.
Journal of Differential Equations, Vol. 131, Iss. 2, 1996-11 ,pp. :
Canonical functions, non-regular ultrafilters and Ulam's problem on
The Journal of Symbolic Logic, Vol. 68, Iss. 3, 2003-09 ,pp. :