On Hamilton's principle for surface waves

Journal of Fluid Mechanics

Volumn 83, Issue 1, 1977, Pages 153-158

  Miles, John W ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84974144443     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112077001104     Document Type: Article

References (10)

1. Benney, D. J. & Luke, J. C. 1964 On the interactions of permanent waves of finite amplitude J. Math. & Phys. 43, 309–313.
2. Finlayson, B. A. 1972 The Method of Weighted Residuals and Variational Principles. Academic Press.
3. Hasselmann, K. 1967 Nonlinear interactions treated by the methods of theoretical physic (with application to the generation of waves by wind). Proc. Roy. Soc. A 299, 77–100.
4. Luke, J. C. 1967 A variational principle for a fluid with a free surface. J. Fluid Mech. 27, 395–397.
5. Miles, J. W. 1976 Nonlinear surface waves in closed basins. J. Fluid Mech. 75, 419–448.
6. Serrin, J. 1959 Mathematical principles of classical fluid mechanics. Encyclopedia Phys. vol. 8, 24. Springer.
7. Volterra, V. 1959 Theory of Functionals and of Integral and Integro-differential Equations Dover.
8. Watson, K. M. & West, B. J. 1975 A transport-equation description of nonlinear ocean surface wave interactions. J. Fluid Mech. 70, 815–826.
9. Whitham, G. B. 1967 Variational methods and applications to water waves. Proc. Roy. Soc. A 299, 6–25.
10. Whitham, G. B. 1974 Linear and Nonlinear Waves. Interscience.