Asymptotic solutions of the problem of steep capillary-gravitational Faraday waves on the interface between fluids

Russian Journal of Mathematical Physics

Volumn 11, Issue 2, 2004, Pages 221-233

  Sekerzh Zenkovich, S ^a,b   Volkov, B ^c   Monzon, C O ^a   Gomez, M A Olmos ^a  

^a UNIVERSITY OF GUADALAJARA   (Mexico)

^b INSTITUTE FOR PROBLEMS IN MECHANICS   (Russian Federation)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042803775     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

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3. Sekerzh-Zen'kovitch, S. Ya., Parametric Excitation of Finite-Amplitude Waves at the Interface of Two Liquids of Different Densities, Dokl. Akad. Nauk SSSR, vol. 272, no. 5, pp. 1083-1086; English transl. in: Sov. Phys. Dokl., 1983, vol. 28, no. 10, pp. 844-845.
4. Sekerzh-Zen'kovitch, S. Ya., Parametric Excitation of Finite-Amplitude Waves at the Interface of Two Liquids of Different Densities, Dokl. Akad. Nauk SSSR, vol. 272, no. 5, pp. 1083-1086; English transl. in: Sov. Phys. Dokl., 1983, vol. 28, no. 10, pp. 844-845.
5. Hill, D. F., The Faraday Resonance of Interfacial Waves in Weakly Viscous Fluids, Phys. Fluids, 2002, vol. 14, pp. 158-169.
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7. Kalinichenko, V. A., Laboratory Investigation of Parametric Instability in a Two-layer Fluid, Izv. Acad. Sci. USSR Atmos. Ocean Phys., 1986, vol. 22, pp. 155-158.
8. Kalinichenko, V. A., Sekerzh-Zen'kovitch, S. Ya., and Timofeev A. S., Experimental Study of the Velocity Field of Parametrically Excited Waves in a Two-Layer Liquid, Izv. Akad. Nauk SSSR Mekh. Zhid.i Gaza, 1991, vol. 5, pp. 161-166.
9. Benielli, D. and Sommeria, J., Excitation and Breaking of Internal Gravity Waves by Parametric Instability, J. Fluid Mech., 1998, vol. 374, pp. 117-144.
10. Bogolyubov, N.M., Mitropolsky, Yu. A., Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Moscow: Nauka, 1974; English transl. in:Bogoliubov, N. N. and Mitropolsky, Y. A., New York: Gordon and Breach Science Publishers; Delhi: Hindustan Publishing Corp., 1961.
11. Sekerzh-Zenkovich, S., Volkov, B., Monzon, C.O., and Sekerzh-Zenkovich, D., Asymptotic Solutions of the Problem on Standing Capillary-Gravity Waves in a Fluid at Nearly Critical Modes, Russian J. of Math. Phys., 2003, vol. 10, pp. 181-193.
12. Rottman, J. W., Steep Standing Waves at a Fluid Interface, J. Fluid Mech., 1982, vol. 121, pp. 283-306.
13. Thorpe, S.A., On Standing Internal Gravity Waves of Finite Amplitude, J. Fluid Mech., 1968, vol. 32, pp. 489-528.