This article is cited in 1 paper

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

L. V. Perova

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: Propagation of small perturbations in a two-layer inviscid stratified uniformly rotating fluid is studied assuming that the higher and lower density fluids occupy unbounded lower and upper half-spaces, respectively. The source of excitation is a plane wave travelling along the interface of the fluids. An explicit analytical solution of the problem is constructed, and its existence and uniqueness is proved. The long-time wave pattern developing in the fluids is analyzed.

Key words: propagation of perturbations in stratified fluid, rotating fluid, stream function, internal waves, surface waves.

UDC: 519.634

Received: 11.07.2012

DOI: 10.7868/S0044466913010080

 English version: Computational Mathematics and Mathematical Physics, 2013, 53:1, 93–118

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