Preprint 1998-040

Granular Avalanche Flow Down a Smoothly Varying Slope: the Existence of Entropy Solutions

Abstract: 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.

Paper:

Available as PostScript.

Title:

Granular avalanche flow down a smoothly varying slope: the existence of entropy solutions

Author(s):

Robin Balean, <balean@mathematik.tu-darmstadt.de>

Publishing information:

Comments:

Submitted by:

<balean@mathematik.tu-darmstadt.de> December 14 1998.