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A note regarding ‘On Hamilton's principle for surface waves’

  • D. Michael Milder (a1)

Abstract

The canonical form of the equations for the free-surface elevation and potential of an irrotational fluid is more than a coincidence. The elevation is a ‘generalized coordinate’ field sufficient to define the system Lagrangian without explicit reference to the motion of the fluid interior. The Lagrangian and the associated field equations are complete and self-contained in the two-dimensional surface co-ordinates, but non-local (integro-differential) in form; the canonical equations derived by Miles are just the Hamiltonian counterparts.

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References

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Miles, J. W. 1977 J. Fluid Mech. 83, 153.
Watson, K. M. & West, B. 1975 J. Fluid Mech. 70, 815.
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