Journal of Nonlinear Mathematical Physics

Volume 19, Issue Supplement 1, November 2012, Pages 89 - 103

On Periodic Water Waves with Coriolis Effects and Isobaric Streamlines

Authors
Anca-Voichita Matioc*, Bogdan-Vasile Matioc
Faculty of Mathematics, University of Vienna, Nordbergstraße 15, 1090 Vienna, Austria
Received 18 March 2012, Accepted 20 April 2012, Available Online 28 November 2012.
DOI
10.1142/S1402925112400098How to use a DOI?
Keywords
Periodic water waves; Gerstner's wave; Coriolis effects; Lagrangian coordinates
Abstract

In this paper we prove that solutions of the f-plane approximation for equatorial geophysical deep water waves, which have the property that the pressure is constant along the streamlines and do not possess stagnation points, are Gerstner-type waves. Furthermore, for waves traveling over a flat bed, we prove that there are only laminar flow solutions with these properties.

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
19 - Supplement 1
Pages
89 - 103
Publication Date
2012/11/28
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925112400098How to use a DOI?
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  - Anca-Voichita Matioc
AU  - Bogdan-Vasile Matioc
PY  - 2012
DA  - 2012/11/28
TI  - On Periodic Water Waves with Coriolis Effects and Isobaric Streamlines
JO  - Journal of Nonlinear Mathematical Physics
SP  - 89
EP  - 103
VL  - 19
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925112400098
DO  - 10.1142/S1402925112400098
ID  - Matioc2012
ER  -