The Formation of River Channels

@article{Fowler2007TheFO,
  title={The Formation of River Channels},
  author={Andrew C. Fowler and Natalia Kopteva and Charles Oakley},
  journal={SIAM Journal of Applied Mathematics},
  year={2007},
  volume={67},
  pages={1016-1040}
}
We consider a deterministic model of landscape evolution through the mechanism of overland flow over an erodible substrate, using the St. Venant equations of hydraulics together with the Exner equation for hillslope erosion. A novelty in the model is the allowance for a nonzero bedload layer thickness, which is necessary to distinguish between transport limited and detachment limited sediment removal. It has long been known that transport limited uniform flow is unstable when the hillslope… CONTINUE READING
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