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Standing Stokes waves of maximum height

Published online by Cambridge University Press:  29 March 2006

Malcolm A. Grant
Malcolm A. Grant
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology Present address. Applied Mathematics Division, D.S.I.R., Wellington, New Zealand.
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Abstract

An analytic expression is found for an infinite subset of the coefficients of the perturbation expansion. They are the coefficients of the terms most rapidly varying at each order, which are also the first terms in the expansion of each Fourier coefficient. The sum of these terms gives a nonlinear approximation to the solution. At greatest height this approximation has a profile with a 90° corner.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 60 , Issue 3 , 18 September 1973 , pp. 593 - 604
Copyright
© 1973 Cambridge University Press

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References

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