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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 1990 Volume 30, Number 5, Pages 751–766 (Mi zvmmf3268)

Energy characteristics of non-stationary internal waves in a vertical channel containing a stratified liquid

S. A. Gabov, P. A. Krutitskii

Moscow

Abstract: An explicit solution is obtained for the initial-boundary value problem of non-stationary internal waves in a vertical channel containing a stratified liquid generated by small vibrations of the bottom of the channel. The behaviour of the energy and the flow of energy of internal waves is studied as a function of time and the frequency of the force generating the vibrations. Asymptotic formulae for long times are obtained.

UDC: 517.958:532.5

MSC: Primary 76B55; Secondary 76V05

Received: 30.06.1989


 English version:
USSR Computational Mathematics and Mathematical Physics, 1990, 30:3, 81–92

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