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

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

2008-02-19

arxiv.org/abs/0802.2673v3

Discrete and Continuous Dynamical Systems: Series B 12, 04 (2009) 671 - 692

Mathematics

Analysis of PDEs

21 pages

Scientific paper

10.3934/dcdsb.2009.12.671

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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