Behavior of a periodic travelling wave-train is studied. It is shown that there exists a solution of Nekrasov's integral equation which corresponds to the existence of a wave of greatest height and of permanent form moving on the surface of an irrotational, infinitely deep flow. It is also shown that this wave is the uniform limit, in a specified sense, of waves of almost extreme form.
|Number of pages||17|
|Journal||Proc R Soc London Ser A|
|Publication status||Published - 1 Jan 1978|
ASJC Scopus subject areas
- Physics and Astronomy(all)