Volume 19, Issue Supplement 1, November 2012, Pages 34 - 42
On Constant Vorticity Flows Beneath Two-Dimensional Surface Solitary Waves
Authors
Raphael Stuhlmeier
Faculty of Mathematics, University of Vienna, Nordbergstraße 15, 1090 Vienna, Austria,raphael.stuhlmeier@univie.ac.at
Received 25 March 2012, Accepted 20 April 2012, Available Online 28 November 2012.
- DOI
- 10.1142/S1402925112400049How to use a DOI?
- Keywords
- Euler equations; free boundary; solitary waves; vorticity
- Abstract
We demonstrate that, for a two-dimensional, steady, solitary wave profile, a flow of constant vorticity beneath the wave must likewise be steady and two-dimensional, and the vorticity will point in the direction orthogonal to that of wave propagation. Constant vorticity is the hallmark of a harmonic velocity field, and the simplified vorticity equation is used along with maximum principles to derive the results.
- Copyright
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Raphael Stuhlmeier PY - 2012 DA - 2012/11/28 TI - On Constant Vorticity Flows Beneath Two-Dimensional Surface Solitary Waves JO - Journal of Nonlinear Mathematical Physics SP - 34 EP - 42 VL - 19 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112400049 DO - 10.1142/S1402925112400049 ID - Stuhlmeier2012 ER -