Preprint 2006-054
On the Shape of Avalanches
Wen Shen
Abstract: In this paper we study a dimensionless model of granular matter. We prove that, every sufficiently small, compactly supported perturbation of a Lipschitz continuous decoupled initial data gives decoupled solution in finite time. Moreover, no gradient catastrophe occurs, i.e., the solution does not develop discontinuities.