ON THE EXISTENCE OF A WAVE OF GREATEST HEIGHT AND STOKE'S CONJECTURE.

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)469-485
Number of pages17
JournalProc R Soc London Ser A
Volume363
Issue number1715
Publication statusPublished - 1 Jan 1978

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Cite this