This article is cited in 3 papers

Oscillations of a rotating stratified fluid 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 weakly stratified inviscid fluid rotating at a constant angular velocity in the lower half-space is studied. The source of excitation is a plane wave traveling on the free surface of the fluid. An explicit analytical solution to the problem is constructed. Existence and uniqueness theorems are proved. The long-time wave pattern in the fluid is analyzed.

Key words: stratified fluid, fluid's rotation frequency, stream function, internal waves, surface waves, fluid dynamic equation.

UDC: 519.634

Received: 14.12.2006

 English version: Computational Mathematics and Mathematical Physics, 2007, 47:5, 863–881

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