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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 379, Pages 67–87 (Mi znsl3838)  
About the slow waves in curvilinear fluid layers

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: The slow wave can propagate in thin fluid layers surrounded by elastic media. This wave possesses dispersion and its velocity is equal to zero for null frequency. In order to investigate this wave, we consider several fluid layers between elastic media: (1) a plane layer, (2) cylindrical layer along element of cylinder, (3) cylindrical layer along directrix, and (4) spherical layer. In all cases we derive the expressions of velocities of the slow waves and compare these expressions. The slow waves carry big energy and are of great interest for investigation of waves propagating between holes. Bibl. 6 titles.
Key words and phrases: slow wave, fluid layer, curvilinear boundaries, cylindrical surface, spherical surface.
Received: 22.09.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 173, Issue 3, Pages 278–290
DOI: https://doi.org/10.1007/s10958-011-0250-9
Bibliographic databases:
Document Type: Article
UDC: 550.24
Language: Russian
Citation: L. A. Molotkov, “About the slow waves in curvilinear fluid layers”, Mathematical problems in the theory of wave propagation. Part 39, Zap. Nauchn. Sem. POMI, 379, POMI, St. Petersburg, 2010, 67–87; J. Math. Sci. (N. Y.), 173:3 (2011), 278–290
Citation in format AMSBIB
\Bibitem{Mol10}
\by L.~A.~Molotkov
\paper About the slow waves in curvilinear fluid layers
\inbook Mathematical problems in the theory of wave propagation. Part~39
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 379
\pages 67--87
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3838}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 173
\issue 3
\pages 278--290
\crossref{https://doi.org/10.1007/s10958-011-0250-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952248032}
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