Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
Afaf Bouharguane
International Journal of Differential Equations · 2011
doi:10.1155/2011/408704 (opens in a new tab)
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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.
Abstract licence: CC BY
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