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) |
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Pages (from-to) | 828-838 |
Number of pages | 11 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 339 |
Issue number | 2 |
DOIs | |
State | Published - Mar 15 2008 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics