This article is cited in 2 papers

Propagation of perturbations in a two-layer rotating fluid with an interface excited by moving sources

L. V. Perova

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

Abstract: Propagation of small perturbations in a two-layer inviscid fluid rotating at a constant angular velocity is studied. It is assumed that the lower density fluid occupies the upper unbounded half-space, while the higher density fluid occupies the lower unbounded half-space. The source of excitation is a plane wave traveling along the interface of the fluids. An explicit analytical solution to the problem is constructed, and its existence and uniqueness are proved. The long-time wave pattern developing in the fluids is analyzed.

Key words: stream function, rotating fluid, internal waves, surface waves.

UDC: 519.634

Received: 24.12.2008

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:7, 1175–1196

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