Granular Avalanche Flow Down a Smoothly Varying Slope: the Existence of
We consider a model developed by Savage and Hutter which describes
the flow of granular avalanches down a smoothly varying slope.
The system of two conservation laws for height and momentum of
the avalanche resembles the shallow water equations.
The existence of entropy solutions to this model is proved using
the vanishing viscosity method. Existence can generally only
be guaranteed for a finite time depending on the initial data and
the curvature of the slope.
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December 14 1998.
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Last modified: Mon Dec 14 12:00:30 1998