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Stability of flexural-gravity waves and quadratic interactions

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Abstract

The processes leading to strong distortion of the amplitude of a periodic flexural-gravity wave propagating in a fluid layer of finite depth beneath an infinite thin elastic plate are investigated. It is shown that three-wave resonance with noise harmonics of the flexural-gravity waves may lead to instability of a wave with the wave vector k w , where |k w |<k min. Depending on |k w |, either two copropagating noise harmonics or two noise harmonics whose wave vectors make a nonzero angle with the vector k w may be most strongly amplified during the initial instants of time.

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Authors
  1. A. V. Marchenko
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Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 91–101, January–February, 1999.

The work was carried out with financial support from the Russian Foundation for Basic Research (project No. 96-010-1746) and the International Association for Assistance and Cooperation with Scientists from the Independent States of the former Soviet Union and the Russian Foundation for Basic Research (INTAS-RFBR 95-0435).

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Marchenko, A.V. Stability of flexural-gravity waves and quadratic interactions. Fluid Dyn 34, 78–86 (1999). https://doi.org/10.1007/BF02698754

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  • DOI: https://doi.org/10.1007/BF02698754

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