On the shape of avalanches

Wen Shen

doi:10.1016/j.jmaa.2007.07.036

On the shape of avalanches

Wen Shen

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English (US)
Pages (from-to)	828-838
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	339
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2007.07.036
State	Published - Mar 15 2008

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jmaa.2007.07.036

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title = "On the shape of avalanches",

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.",

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AB - 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.

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JO - Journal of Mathematical Analysis and Applications

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IS - 2

ER -

On the shape of avalanches

Abstract

All Science Journal Classification (ASJC) codes

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