Steady water waves with a critical layer

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Abstract

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.

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Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik
Originalspråkengelska
Sidor (från-till)2468-2483
TidskriftJournal of Differential Equations
Volym246
Utgivningsnummer6
StatusPublished - 2009
PublikationskategoriForskning
Peer review utfördJa