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

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  • Afaf Bouharguane

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. "Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-24, November.
  • Handle: RePEc:hin:jnijde:408704
    DOI: 10.1155/2011/408704
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