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A variational principle for a fluid with a free surface

Published online by Cambridge University Press:  28 March 2006

J. C. Luke
J. C. Luke
Affiliation:
California Institute of Technology
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Abstract

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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 27 , Issue 2 , 2 February 1967 , pp. 395 - 397
Copyright
© 1967 Cambridge University Press

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References

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