On the instability of a nonlocal conservation law

Published 26 Oct 2010 in math.AP | (1010.5401v2)

Abstract: We are interested in a nonlocal conservation law which describes the morphodynamics of sand dunes sheared by a fluid flow, recently proposed by Andrew C. Fowler. We prove that constant solutions of Fowler's equation are non-linearly unstable. We also illustrate this fact using a finite difference scheme.

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Authors (1)

Afaf Bouharguane

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