Global BV for a model of granular flow

Tuesday, July 28, 2009 - 11:00am - 11:50am
EE/CS 3-180
Wen Shen (The Pennsylvania State University)
We consider a model for the flow of granular matter which was proposed by
Hadeler and Kuttler (Granular Matter, 1999). The original model uses the height of
the standing layer and the thickness of the moving layer as the unknowns.
By introducing the slope the standing layer, one arrives at a 2 by 2 system of
balance laws. This system is weakly linearly degenerate at a point.
With suitable conditions on the initial data, one can prove the global existence
of smooth solutions. Furthermore, we prove the global existence of large
BV solutions, for a class of initial data with bounded but possibly large
total variation.

This is partly a joint work with Debora Amadori, Italy.
MSC Code: