On the instability of a nonlocal conservation law
Analysis of PDEs
2011-02-08 v2
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.
Keywords
Cite
@article{arxiv.1010.5401,
title = {On the instability of a nonlocal conservation law},
author = {Afaf Bouharguane},
journal= {arXiv preprint arXiv:1010.5401},
year = {2011}
}