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.
Citation:
L. V. Perova, “Propagation of perturbations in a two-layer rotating fluid with an interface excited by moving sources”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009), 1232–1254; Comput. Math. Math. Phys., 49:7 (2009), 1175–1196
\Bibitem{Per09}
\by L.~V.~Perova
\paper Propagation of perturbations in a~two-layer rotating fluid with an interface excited by moving sources
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2009
\vol 49
\issue 7
\pages 1232--1254
\mathnet{http://mi.mathnet.ru/zvmmf4721}
\transl
\jour Comput. Math. Math. Phys.
\yr 2009
\vol 49
\issue 7
\pages 1175--1196
\crossref{https://doi.org/10.1134/S0965542509070100}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70349956428}
Linking options:
https://www.mathnet.ru/eng/zvmmf4721
https://www.mathnet.ru/eng/zvmmf/v49/i7/p1232
This publication is cited in the following 2 articles:
L. V. Perova, “Propagation of perturbations in a two-layer stratified rotating fluid with an interface excited by moving sources”, Comput. Math. Math. Phys., 53:1 (2013), 93–118
L. V. Perova, A. G. Sveshnikov, “Propagation of perturbations in fluids excited by moving sources”, Comput. Math. Math. Phys., 50:12 (2010), 2109–2117
Citation in format AMSBIB
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