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arXiv · 1612.04671

N-modal steady water waves with vorticity

Vladimir Kozlov·Evgeniy Lokharu
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Abstract

The problem for two-dimensional steady gravity driven water waves with vorticity is investigated. Using a multidimensional bifurcation argument, we prove the existence of small-amplitude periodic steady waves with an arbitrary number of crests per period. The role of bifurcation parameters is played by the roots of the dispersion equation.

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Vladimir Kozlov, Evgeniy Lokharu. 2016-12-13. N-modal steady water waves with vorticity. https://doi.org/10.1007/s00021-017-0346-1

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