On the instability of a nonlocal conservation law

Details On the instability of a nonlocal conservation law On the instability of a nonlocal conservation law

2010-10-26

arxiv.org/abs/1010.5401v2

Mathematics

Analysis of PDEs

Scientific paper

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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