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.
Citation
Afaf Bouharguane. "Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves." Int. J. Differ. Equ. 2011 1 - 24, 2011. https://doi.org/10.1155/2011/408704
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