%0 Journal Article
%T On the instability of a nonlocal conservation law
%A Afaf Bouharguane
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1010.5401v2