The singularity at the crest of a finite amplitude progressive Stokes wave
- 19 June 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 59 (2) , 257-262
- https://doi.org/10.1017/s0022112073001552
Abstract
Expansions have been given in the past for steady Stokes waves at or near a largest wave with a 120° corner. It is shown here that the solution is more complicated than has been assumed: that the corner is not a regular singular point, and that waves of less than maximum amplitude have singularities of a different order.Keywords
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