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Trimodal Steady Water Waves

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Author

Summary, in English

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.

Department/s

Publishing year

2015

Language

English

Pages

449-471

Publication/Series

Archive for Rational Mechanics and Analysis

Volume

216

Issue

2

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Status

Published

Project

  • Nonlinear Water Waves

Research group

  • Matematik NF
  • Partial differential equations

ISBN/ISSN/Other

  • ISSN: 0003-9527