Journal of Fluid Mechanics

The singularity at the crest of a finite amplitude progressive Stokes wave

Malcolm A.  Grant a1
a1 Department of Mathematics, Massachusetts Institute of Technology 1

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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.

(Published Online March 29 2006)
(Received May 15 1972)
(Revised March 22 1973)


1 Present address: Mathematics Department, University of Oslo.

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