Trimodal Steady Water Waves

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves of finite depth. The solutions contain counter-currents and multiple crests in each minimal period. Each such wave is, generically, 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.

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Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik
Originalspråkengelska
Sidor (från-till)449-471
TidskriftArchive for Rational Mechanics and Analysis
Volym216
Utgåva nummer2
StatusPublished - 2015
PublikationskategoriForskning
Peer review utfördJa

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