A One-Dimensional Model for Dispersive Wave Turbulence

Journal of Nonlinear Science

Volumn 7, Issue 1, 1997, Pages 9-44

  Majda, A J ^a   McLaughlin, D W ^a   Tabak, E G ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

Cascades; Inertial range; Turbulence

Indexed keywords

EID: 0004511516     PISSN: 09388974     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02679124     Document Type: Article

References (10)

1. F. P. Bretherton. "Resonant interactions between waves. The case of discrete oscillations," J. Fluid Mech., 20, 457-479, 1964.
2. D. J. Benney and P. G. Saffman. "Nonlinear interactions of random waves in a dispersive medium," Proc. Roy. Soc. A 289, 301, 1965.
3. A. D. Craik, Wave Interactions and Fluid Flows, Cambridge Univ. Press, Cambridge, 1985.
4. S. Dyachenko, A. C. Newell, A. Pushkarev, and V. E. Zakharov, "Optical turbulence: Weak turbulence, condensates, and collapsing filaments in the nonlinear Schroedinger equation," Physica D, 57, 96-160, 1992.
5. K. Hasselmann, "On the nonlinear energy transfer in a gravity wave spectrum. Part I: General theory," J. Fluid Mech., 12, 481-500, 1962.
6. T. Y. Hou, J. S. Lowengrub, and M. Shelley, "Removing the stiffness from interfacial flows with surface tension," J. Comp. Phys., 114, 312-338, 1994.
7. A. J. Majda, D. W. McLaughlin, and E. G. Tabak, "A one-dimensional model for dispersive wave turbulence: Part II," in preparation.
8. O. M. Phillips, The Dynamics of the Upper Ocean, Cambridge Univ. Press, Cambridge, 1977.
9. V. E. Zakharov, "Kolmogorov spectra in weak turbulence problems," Handbook Plasma Phys., 2, 1984.
10. V. E. Zakharov, V. Lvov, and G. Falkovich, Wave Turbulence, Springer-Verlag, New York, 1992.