Steady water waves with a critical layer

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.

• Författare: Erik Wahlén
• Avdelning/ar: Matematik (naturvetenskapliga fakulteten); Partial differential equations
• Publiceringsår: 2009
• Språk: Engelska
• Sidor: 2468-2483
• Publikation/Tidskrift/Serie: Journal of Differential Equations
• Volym: 246
• Issue: 6
• Länkar: http://dx.doi.org/10.1016/j.jde.2008.10.005
• Dokumenttyp: Artikel i tidskrift
• Förlag: Elsevier
• Ämne: Mathematics
• Status: Published
• Forskningsgrupp: Partial differential equations
• ISBN/ISSN/Övrigt: ISSN: 0022-0396