A uniqueness result for periodic traveling waves in water of finite depth

Research output: Contribution to journalArticle

Abstract

It is shown that in water of finite depth, the surface profile eta of a periodic traveling wave uniquely determines the corresponding flow in the body of the fluid. This holds for rotational flow as long as the vorticity function gamma(psi) satisfies the condition gamma'(psi) max(xis an element ofR) eta(2)(x) < pi(2). This condition is also shown to be sharp.

Details

Authors
  • Henrik Kalisch
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • traveling waves, uniqueness, surface water waves
Original languageEnglish
Pages (from-to)779-785
JournalNonlinear Analysis: Theory, Methods & Applications
Volume58
Issue number7-8
Publication statusPublished - 2004
Publication categoryResearch
Peer-reviewedYes