On the shape of avalanches

9Citations
Citations of this article
3Readers
Mendeley users who have this article in their library.
Get full text

Abstract

In this paper we study a dimensionless model of granular matter. The model can be rewritten into a system of balance laws. 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. © 2007 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Shen, W. (2008). On the shape of avalanches. Journal of Mathematical Analysis and Applications, 339(2), 828–838. https://doi.org/10.1016/j.jmaa.2007.07.036

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free