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  • Journal of Fluid Mechanics, Volume 548
  • February 2006, pp. 151-163

Variational formulations for steady water waves with vorticity

  • ADRIAN CONSTANTIN (a1), DAVID SATTINGER (a2) and WALTER STRAUSS (a3)
  • DOI: http://dx.doi.org/10.1017/S0022112005007469
  • Published online: 01 February 2006
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.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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