On a Differential Model for Growing Sandpiles with Non-Regular Sources

被引：16
|
作者：
Cannarsa, Piermarco [1 ]
Cardaliaguet, Pierre [2 ]
Sinestrari, Carlo [1 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Univ Brest, CNRS, UMR 6205, Math Lab, Brest, France
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 34卷 / 07期
关键词：
Asymptotic profile; Distance function; Granular matter; Uniqueness of solutions; FAST/SLOW DIFFUSION; BOUNDARY;
D O I：
10.1080/03605300902909966
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：656 / 675
页数：20
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