Journal of Fluid Mechanics

A variational principle for a fluid with a free surface

J. C.  Luke a1
a1 California Institute of Technology

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The full set of equations of motion for the classical water wave problem in Eulerian co-ordinates is obtained from a Lagrangian function which equals the pressure. This Lagrangian is compared with the more usual expression formed from kinetic minus potential energy.

(Published Online March 28 2006)
(Received February 25 1966)