Global-in-time existence of perturbations around travelling-waves

Afaf Bouharguane

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arXiv · 1107.0152

Global-in-time existence of perturbations around travelling-waves

Afaf Bouharguane

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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.

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Afaf Bouharguane. 2011-07-01. Global-in-time existence of perturbations around travelling-waves. https://arxiv.org/abs/1107.0152

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