Power-law singularities in gravity-capillary waves

Physica D: Nonlinear Phenomena

Volumn 123, Issue 1-4, 1998, Pages 183-205

  Hogrefe, J Errett ^a   Peffley, Nicholas L ^a,b   Goodridge, Christopher L ^a   Shi, William T ^a   Hentschel, H George E ^a   Lathrop, Daniel P ^a,b  

^a EMORY UNIVERSITY   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001654545     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00120-1     Document Type: Article

References (36)

1. K.R. Sreenivasan, C. Meneveau, Phys. Rev. A 38 (1988) 6287.
2. R.T. Knapp. J.W. Dailey, F.G. Hammitt, Cavitation, McGraw-Hill, New York, 1970.
3. D.F. Gaitan, L.A. Crum, C.C. Church, R.A. Roy, J. Acoust. Soc. Am. 91 (6) (1992) 3166.
4. Y.R. Shen, The Principles of Nonlinear Optics, Wiley, New York, 1984.
5. B.P. Luce, C.R. Doering, Phys. Lett. A 178 (1993) 92.
6. |6] S. Weinberg, Gravitation and Cosmology, Wiley, New York, 1972.
7. J. Eggers, Phys. Rev. Lett. 71 (1993) 3458.
8. J. Eggers, Phys. Fluids 7 (1995) 941.
9. A.C. Newell, V.E. Zakharov, Phys. Rev. Lett. 69 (1992) 1149.
10. E.A. Kuznetsov, M.D. Spector, V.E. Zakharov, Phys. Rev. E 49 (1994) 1283.
11. M. Faraday, Phil. Trans. R. Soc. London 121 (1831) 299.
12. T.B. Benjamin, F. Ursell, Proc. R. Soc. London Ser. A 225 (1954) 505.
13. S. Douady, J. Fluid Mech. 221 (1990) 383.
14. S. Cilberto, S. Douady, S. Fauve, Europhysics Letters 15 (1) (1991) 23.
15. W.S. Edwards, S. Fauve, Phys. Rev E 47 (1993) R788.
16. N.B. Tufillaro, R. Ramshankar, J.P. Gollub, Phys. Rev. Lett. 62 (1989) 422.
17. J. Miles, D. Henderson, Annu. Rev. Fluid Mech. 22 (1990) 143.
18. O.N. Mesquita, S. Kane, J.P. Gollub, Phys. Rev. A 45 (1992) 3700.
19. Jens Eggers, Todd F. Dupont, J. Fluid Mech. 262 (1994) 205.
20. V.E. Zakharov, in: M.L. Banner, R.H.J. Grimshaw (Eds.), Breaking Waves, IUTAM Symposium 1991. Springer, Berlin, 1992.
21. C.L. Goodridge, W. Tao Shi, O.P. Lathrop, Phys, Rev. Lett. 76 (1996) 1824.
22. M.S. Longuet-Higgins, H. Oguz, J. Fluid Mech. 290 (1995) 183.
23. M.P. Brenner, X.D. Shi, S.R. Nagel, Phys. Rev. Lett. 73 (1994) 3391.
24. M.S. Longuet-Higgins, J. Fluid Mech. 127 (1983) 103.
25. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Dover, New York, 1981.
26. B.J. Gluckman, C.B. Arnold, J.P. Gollub, Phys. Rev. E 51 (1995) 1128.
27. S.P. Decent, A.D.D. Craik, J. Fluid Mech. 293 (1995) 237.
28. A.B. Ezerskii, P.I. Korotin, M.I. Rabinovich, JETP Lett. 41 (1985) 157.
29. S. Cilberto, J. Gollub, J. Fluid Mech. 158 (1985) 381.
30. M. Tjahjadi, H.A. Stone, J.M. Ottino, J. Fluid Mech. 243 (1992) 297.
31. W. Tao Shi, C.L. Goodridge, D.P. Lathrop, Phys. Rev. E, to appear.
32. L.D. Landau, E.M. Lifshitz, Fluid Mechanics, Pergamon Press, New York, 1987.
33. J.H. Michell, Philos. Mag. 36 (1893) 430.
34. G.D. Crapper, J. Fluid Mech. 2 (1957) 532.
35. E. Ott, Phys. Rev. Lett. 29 (1972) 1429.
36. J.M. Walsh, R.G. Shreffler, F.J. Willig, J. Appl. Phy. 24 (1953) 349.