On the shape of avalanches

  • Shen W
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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.

Author-supplied keywords

  • Balance laws
  • Decoupled solutions
  • Global solutions
  • Granular matter

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Authors

  • Wen Shen

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