Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
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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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/408704 |