Global existence of solutions to the Fowler equation in a neighbourhood of travelling-waves (Q762946)
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scientific article; zbMATH DE number 6013193
| Language | Label | Description | Also known as |
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| English | Global existence of solutions to the Fowler equation in a neighbourhood of travelling-waves |
scientific article; zbMATH DE number 6013193 |
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Global existence of solutions to the Fowler equation in a neighbourhood of travelling-waves (English)
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8 March 2012
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Summary: We investigate a fractional diffusion/anti-diffusion equation proposed by \textit{A. C. Fowler} [Lect. Notes Phys. 582, 430--454 (2001; Zbl 1169.86305)] 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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