Global-in-time existence of perturbations around travelling-waves
Analysis of PDEs
2011-07-04 v1
Abstract
We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-in-time well-posedness in the neighbourhood of travelling-waves solutions of the Fowler equation.
Keywords
Cite
@article{arxiv.1107.0152,
title = {Global-in-time existence of perturbations around travelling-waves},
author = {Afaf Bouharguane},
journal= {arXiv preprint arXiv:1107.0152},
year = {2011}
}