| 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.
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). |
