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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 250, Pages 244–262 (Mi znsl653)  
On attenuation in layered porous Biot media and their effective models

L. A. Molotkova, A. V. Bakulinb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (217 kB)
Abstract: The effective models of periodic layered porous Biot media possessing viscosity and relaxation are established and investigated. These models correspond to the generalized Biot media with the equations containing as a rule exponential kernels of relaxation and viscosity. There exist such kernels even if in the initial medium relaxation is absent. The inequalities, which must be satisfied by the parameters of kernels, are established by means of the energy investigations. The partial cases when the effective models possess no viscosity or no relaxation are pointed out.
Received: 28.11.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 102, Issue 4, Pages 4291–4303
DOI: https://doi.org/10.1007/BF02673859
Bibliographic databases:
UDC: 517.934+550.34
Language: Russian
Citation: L. A. Molotkov, A. V. Bakulin, “On attenuation in layered porous Biot media and their effective models”, Mathematical problems in the theory of wave propagation. Part 27, Zap. Nauchn. Sem. POMI, 250, POMI, St. Petersburg, 1998, 244–262; J. Math. Sci. (New York), 102:4 (2000), 4291–4303
Citation in format AMSBIB
\Bibitem{MolBak98}
\by L.~A.~Molotkov, A.~V.~Bakulin
\paper On attenuation in layered porous Biot media and their effective models
\inbook Mathematical problems in the theory of wave propagation. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 250
\pages 244--262
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl653}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1701869}
\zmath{https://zbmath.org/?q=an:1030.74019}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 102
\issue 4
\pages 4291--4303
\crossref{https://doi.org/10.1007/BF02673859}
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