Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 469-485 |
| Number of pages | 17 |
| Journal | Proc R Soc London Ser A |
| Volume | 363 |
| Issue number | 1715 |
| Publication status | Published - 1 Jan 1978 |
ASJC Scopus subject areas
- General Mathematics
- General Engineering
- General Physics and Astronomy