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Symmetry of steady deep-water waves with vorticity

Published online by Cambridge University Press:  03 May 2005

ADRIAN CONSTANTIN  and
JOACHIM ESCHER
ADRIAN CONSTANTIN
Affiliation:
Department of Mathematics, Lund University, PO Box 118, 22100 Lund, Sweden email: adrian.constantin@math.lu.se
JOACHIM ESCHER
Affiliation:
Institute of Applied Mathematics, University of Hannover, Welfengarten 1, 30167 Hannover, Germany email: escher@ifam.uni-hannover.de
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Abstract

For a large class of vorticities we prove that a steady periodic deep-water wave must be symmetric if its profile is monotone between crests and troughs.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 15 , Issue 6 , December 2004 , pp. 755 - 768
Copyright
2004 Cambridge University Press

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