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

Zh. Vychisl. Mat. Mat. Fiz., 2006 Volume 46, Number 5, Pages 932–947 (Mi zvmmf475)

This article is cited in 4 papers

On oscillations of a semi-infinite rotating liquid with its free surface excited by moving sources

L. V. Perova

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

Abstract: Propagation of small perturbations in a homogeneous inviscid liquid rotating with a constant angular velocity in the lower half-space is considered. The source of excitation is a plane wave traveling on the free surface of the liquid. The explicit analytical solution to the problem is constructed. Uniqueness and existence theorems are proved. The wave pattern in the liquid at large times is examined.

Key words: frequency of the liquid rotation, stream function, internal waves, surface waves.

UDC: 519.634

Received: 06.12.2005


 English version:
Computational Mathematics and Mathematical Physics, 2006, 46:5, 891–906

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© Steklov Math. Inst. of RAS, 2026