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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.

Paper:
Available as PDF (176 Kbytes).
Author(s):
Wen Shen,
Publishing information:
The paper has appeared in J. Math Anal. Appl. 339 (2008) 828–838 (doi:10.1016/j.jmaa.2007.07.036).
Comments:
Updated 2008-04-18.
Submitted by:
; 2006-12-20.