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arXiv · 1010.5401

On the instability of a nonlocal conservation law

Afaf Bouharguane
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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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Afaf Bouharguane. 2011-02-06. On the instability of a nonlocal conservation law. https://arxiv.org/abs/1010.5401

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