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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 393, Pages 211–223 (Mi znsl4625)  
This article is cited in 2 scientific papers (total in 2 papers)

Propagation of normal waves in porous rod with opened pores on boundaries

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (198 kB) Citations (2)
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Abstract: Propagation of normal waves in porous cylindrical rod with opened pores on boundaries is investigated. For this medium the dispersion equation is derived. At low-frequency this equation has one root which is velocity of a normal wave. While in the case of porous rod with closed pores there are two low-frequency waves. At high-frequency the dispersion equation can have in specific parameters one root. With such velocity the Rayleigh wave propagates along free boundary of porous medium with opened pores. The indicated root can be absent. In this case the Rayleigh wave is absent.
Key words and phrases: porous rod, opened pores, unique rod wave, the Rayleigh wave can be absen.
Received: 08.06.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 4, Pages 630–637
DOI: https://doi.org/10.1007/s10958-012-0947-4
Bibliographic databases:
Document Type: Article
UDC: 550.24
Language: Russian
Citation: L. A. Molotkov, “Propagation of normal waves in porous rod with opened pores on boundaries”, Mathematical problems in the theory of wave propagation. Part 41, Zap. Nauchn. Sem. POMI, 393, POMI, St. Petersburg, 2011, 211–223; J. Math. Sci. (N. Y.), 185:4 (2012), 630–637
Citation in format AMSBIB
\Bibitem{Mol11}
\by L.~A.~Molotkov
\paper Propagation of normal waves in porous rod with opened pores on boundaries
\inbook Mathematical problems in the theory of wave propagation. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 393
\pages 211--223
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4625}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870214}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 4
\pages 630--637
\crossref{https://doi.org/10.1007/s10958-012-0947-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866559577}
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  • https://www.mathnet.ru/eng/znsl/v393/p211
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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