Journal of Nonlinear Mathematical Physics

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Volume 22, Issue 4, November 2015, Pages 494 - 498

On Symmetric Water Waves with Constant Vorticity

Authors
Florian Kogelbauer
Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, Vienna, A-1090, Austria.florian.kogelbauer@univie.ac.at">florian.kogelbauer@univie.ac.at
Received 1 August 2015, Accepted 2 October 2015, Available Online 6 January 2021.
DOI
10.1080/14029251.2015.1113044How to use a DOI?
Keywords
Travelling waves; constant vorticity; symmetry
Abstract

We prove that a solution to the gravity water wave problem with constant vorticity, whose wave profile as well as its horizontal velocity component at the free surface are symmetric at any instant of time, is given by a traveling wave. The proof is based on maximum principles and structural properties of the governing equations.

Copyright
© 2015 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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
22 - 4
Pages
494 - 498
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2015.1113044How to use a DOI?
Copyright
© 2015 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

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TY  - JOUR
AU  - Florian Kogelbauer
PY  - 2021
DA  - 2021/01/06
TI  - On Symmetric Water Waves with Constant Vorticity
JO  - Journal of Nonlinear Mathematical Physics
SP  - 494
EP  - 498
VL  - 22
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2015.1113044
DO  - 10.1080/14029251.2015.1113044
ID  - Kogelbauer2021
ER  -