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The Propagation of the Front of Parametrically Excited Capillary Ripples

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Part of the book series: Research Reports in Physics ((RESREPORTS))

Abstract

The propagation of the capillary ripple front of the surface of a fluid in a periodically oscillating vessel is investigated theoretically and experimentally. The propagation velocity of the parametric instability front is found from the linear theory; it is demonstrated that the nonlinear front propagates with linear velocity. The front of a parameterically excited ripple is obtained in laboratory conditions’ and the dependence of the front velocity on supercriticality is found experimentally.

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References

  1. W.A. Wasilyev, Yu.M. Romanovsky, W.G. Yakhno. Autowave Processes. Moscow, Nauka, 1987 (in Russian).

    Google Scholar 

  2. M.I. Rabinovitch, D.I. Trubetskov. Introduction to the Theory of Oscillations and Waves. Moscow, Nauka, 1984 (in Russian).

    Google Scholar 

  3. V.E.Zakharov, V.S.L’vov, S.L.Musher. Sov.Phys.-Solid State, 1972, 14, 2913 (in Russian).

    Google Scholar 

  4. A.B. Yezersky, M.I. Rabinovitch, B.P. Reutov, I.S. Starobinets. Sov.Phys.-Zh. Eksp. Teor. Fiz., 1986, 91, 6 (12), 2070 (in Russian).

    Google Scholar 

  5. W. van Saarlos. Phys.Rev. A, 1988, 37, 1, 211.

    Article  MathSciNet  ADS  Google Scholar 

  6. L.D. Landau, Ye.M. Lifshits. The Electrodynamics of Continuous Media. Moscow, Nauka, 1981 (in Russian).

    Google Scholar 

  7. V.A. Krasil’nikov, V.I. Pavlov. Moscow State Univ. Trans., Physics. 1972, 1, 94 (in Russian).

    Google Scholar 

  8. A.N. Kolmogorov, I.G. Petrovsky, N.S. Piskunov. Moscow State Univ. Bulletin, Sect. A., 1937, 1, 6, 1 (in Russian).

    Google Scholar 

  9. G. Dee, J.S. Langer. Phys. Rev. Lett., 1983, 50, 383.

    Article  ADS  Google Scholar 

  10. G.E. Forsythe, W.G. Vazow. Finite-Difference Methods for Partial Differential Equations. New York, Wiley, 1959.

    Google Scholar 

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© 1990 Springer-Verlag Berlin, Heidelberg

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Matusov, P.A., Tsimring, L.S. (1990). The Propagation of the Front of Parametrically Excited Capillary Ripples. In: Gaponov-Grekhov, A.V., Rabinovich, M.I., Engelbrecht, J. (eds) Nonlinear Waves 3. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75308-4_9

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  • DOI: https://doi.org/10.1007/978-3-642-75308-4_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52024-5

  • Online ISBN: 978-3-642-75308-4

  • eBook Packages: Springer Book Archive

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