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Symmetry of steady periodic surface water waves with vorticity

Published online by Cambridge University Press:  27 January 2004

ADRIAN CONSTANTIN  and
JOACHIM ESCHER
ADRIAN CONSTANTIN
Affiliation:
Department of Mathematics, Lund University, P.O. Box 118, S-22100 Lund, [email protected]
JOACHIM ESCHER
Affiliation:
Institute of Applied Mathematics, University of Hannover, Welfengarten 1, 30167 Hannover, [email protected]
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Abstract

For large classes of vorticities we prove that a steady periodic gravity water wave with a monotonic profile between crests and troughs must be symmetric. The analysis uses sharp maximum principles for elliptic partial differential equations.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 498 , 10 January 2004 , pp. 171 - 181
Copyright
© 2004 Cambridge University Press

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