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Download the Paper (317 K, PDF file) - July 24, 2006 Tell a colleague about it. Printing Tips: Select 'print as image' in the Acrobat print dialog if you have trouble printing.

ABSTRACT:
Analysis of an evolution model for a river channel shows how three types of shocks determine the profile of the channel. This model shows that in a young river channel, evolution is driven by white noise magnifying into a bore followed by a hydraulic jump. This mechanism produces a convex profile typical of young landscapes. A small knick-point then develops at the bottom of the unstable convex profile. This knick-point is magnified and colored into a diffusive shock which travels upslope, digging into the convex profile until the profile becomes concave, typical of mature landscapes.

SUGGESTED CITATION:
Edward Welsh , Bjorn Birnir, and Andrea L. Bertozzi, "Shocks in the Evolution of an Eroding Channel" (July 24, 2006). Center for Complex and Nonlinear Science. Paper Geo2.
http://repositories.cdlib.org/cnls/Geo2