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arxiv: 0802.2673 · v3 · pith:HJY5CNCBnew · submitted 2008-02-19 · 🧮 math.AP

Existence of travelling-wave solutions and local well-posedness of the Fowler equation

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keywords equationexistencefowlerlocalwell-posednessandrewdunesdynamics
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We study the existence of travelling-waves and local well-posedness in a subspace of $C_b^1(\mathbb{R})$ for a nonlinear evolution equation recently proposed by Andrew C. Fowler to study the dynamics of dunes.

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