Title Steady water waves with a critical layer
Authors Erik Wahlén
Alternative Location http://dx.doi.org/10.1016/j..., Restricted Access
Publication Journal Of Differential Equations
Year 2009
Volume 246
Issue 6
Pages 2468 - 2483
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher Academic Press Inc Elsevier Science
Abstract English We construct small-amplitude steady periodic water waves with constant vorticity. Among these are certain waves with the property that in a frame moving with the wave there is a 'critical layer' with closed streamlines in the fluid. These waves, which do not exist in the irrotational setting, are studied in detail. In particular we give a full description of the particle paths. (C) 2008 Elsevier Inc. All rights reserved.
ISBN/ISSN/Other ISSN: 0022-0396

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