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arXiv · 0802.2673

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

Borys Alvarez-Samaniego·Pascal Azerad
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Abstract

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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Borys Alvarez-Samaniego, Pascal Azerad. 2008-02-19. Existence of travelling-wave solutions and local well-posedness of the Fowler equation. https://doi.org/10.3934/dcdsb.2009.12.671

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