Journal of Fluid Mechanics



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Variational formulations for steady water waves with vorticity


ADRIAN CONSTANTIN a1, DAVID SATTINGER a2 and WALTER STRAUSS a3
a1 Trinity College, Department of Mathematics, Dublin 2, Ireland adrian@maths.tcd.ie
a2 Yale University, Department of Mathematics, New Haven, CT 06520, USA david.sattinger@yale.edu
a3 Brown University, Department of Mathematics and Lefschetz Center for Dynamical Systems, Box 1917, Providence, RI 02912, USA wstrauss@math.brown.edu

Article author query
constantin a   [Google Scholar] 
sattinger d   [Google Scholar] 
strauss w   [Google Scholar] 
 

Abstract

For free-surface water flows with a vorticity that is monotone with depth, we show that any critical point of a functional representing the total energy of the flow adjusted with a measure of the vorticity, subject to the constraints of fixed mass and horizontal momentum, is a steady water wave.

(Received May 4 2005)
(Revised July 24 2005)



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