Ontology highlight
ABSTRACT:
SUBMITTER: Yi R
PROVIDER: S-EPMC5493952 | biostudies-literature | 2017 Jun
REPOSITORIES: biostudies-literature
Yi Robert R Cohen Yossi Y Seybold Hansjörg H Stansifer Eric E McDonald Robb R Mineev-Weinstein Mark M Rothman Daniel H DH
Proceedings. Mathematical, physical, and engineering sciences 20170621 2202
Valleys that form around a stream head often develop characteristic finger-like elevation contours. We study the processes involved in the formation of these valleys and introduce a theoretical model that indicates how shape may inform the underlying processes. We consider valley growth as the advance of a moving boundary travelling forward purely through linearly diffusive erosion, and we obtain a solution for the valley shape in three dimensions. Our solution compares well to the shape of slow ...[more]