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Steady water waves with a critical layer

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Author

Summary, in 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.

Department/s

Publishing year

2009

Language

English

Pages

2468-2483

Publication/Series

Journal of Differential Equations

Volume

246

Issue

6

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Status

Published

Research group

  • Partial differential equations

ISBN/ISSN/Other

  • ISSN: 0022-0396