On the decrease of kinetic energy with depth in wave–current interactions

Research output: Contribution to journalArticle

Abstract

We study wave–current interactions in two-dimensional water flows with constant vorticity over a flat bed. We establish decay rates for the velocity beneath spatially periodic surface waves without any restrictions on the wave amplitude. The approach relies on complex function theory and overcomes the intricacies inherent to nonlinear flow patterns by taking advantage of specific structural properties of the governing equations for water waves.

Details

Authors
Organisations
External organisations
  • University of Vienna
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Physical Sciences
Original languageEnglish
Pages (from-to)853-872
Number of pages20
JournalMathematische Annalen
Volume378
Issue number3-4
Early online date2019
Publication statusPublished - 2020 Dec
Publication categoryResearch
Peer-reviewedYes