Trimodal Steady Water Waves
Journal article
Submitted version
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http://hdl.handle.net/11250/2463905Utgivelsesdato
2014Metadata
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- Institutt for matematiske fag [2530]
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Sammendrag
We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests in each minimal period. Each such wave generically is a combination of three different Fourier modes, giving rise to a rich and complex variety of wave patterns. The bifurcation argument is based on a blow-up technique, taking advantage of three parameters associated with the vorticity distribution, the strength of the background stream, and the period of the wave.