Abstract
Two-dimensional steady gravity driven water waves with vorticity are considered. 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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Acknowledgements
The authors are thankful to the anonymous referee for the help in improving the article. V. K. acknowledges the support of the Swedish Research Council (VR) Grant EO418401.
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Communicated by A. Constantin
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Kozlov, V., Lokharu, E. N-Modal Steady Water Waves with Vorticity. J. Math. Fluid Mech. 20, 853–867 (2018). https://doi.org/10.1007/s00021-017-0346-1
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DOI: https://doi.org/10.1007/s00021-017-0346-1