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Existence of travelling-wave solutions and local well-posedness of the Fowler equation
Journal article   Open access   Peer reviewed

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

Borys Alvarez-Samaniego and Pascal Azerad
Discrete and Continuous Dynamical Systems - Series B, Vol.12(04), pp.671 - 692
11/2009

Abstract

travelling-wave Nonlocal evolution equation travelling-wave.
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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