The Internet Archive has a preservation copy of this work in our general collections.

##
###
On Periodic Irrotational Waves at the Surface of Deep Water

1917
*
Proceedings of the London Mathematical Society
*

No exact solution of the problem of permanent irrotational waves in deep water, where the water surface merely changes its position in space without changing its form, has hitherto been discovered. Indeed it is not known whether any exact solution exists. In the ordinary treatment of the problem, to a first approximation, it is assumed that all terms containing the square of the velocity function are negligible. On this assumption it is shewn that if the ratio of the height (vertical distance

doi:10.1112/plms/s2-15.1.26
fatcat:srqfi5dtgbcb3drautdsdtwdye