Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves

Afaf Bouharguane

International Journal of Differential Equations, 2011, vol. 2011, 1-24

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:408704

DOI: 10.1155/2011/408704

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