Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 140–163 (Mi znsl454)  
This article is cited in 3 scientific papers (total in 3 papers)

The effective models of the stratified media containing porous Biot layers

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 (240 kB) Citations (3)
Abstract: The periodic stratified media with alternating layers are investigated in three cases, when a period consists of: 1) two different porous Biot layers, 2) porous and elastic layers, 3) porous and fluid layers. In the case of alternating porous layers the effective model is proved to be generalized transversaly isotropic Biot medium. In this medium fluid density and averaged density are tensors. The effective model of stratified porous-fluid medium is a partial case of generalized transversaly isotropic Biot model and a generalization of effective model of layered fluid-solid medium.
Received: 19.06.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3371–3385
DOI: https://doi.org/10.1007/BF02172816
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, A. V. Bakulin, “The effective models of the stratified media containing porous Biot layers”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 140–163; J. Math. Sci. (New York), 96:4 (1999), 3371–3385
Citation in format AMSBIB
\Bibitem{MolBak97}
\by L.~A.~Molotkov, A.~V.~Bakulin
\paper The effective models of the stratified media containing porous Biot layers
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 140--163
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl454}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700648}
\zmath{https://zbmath.org/?q=an:0945.74055}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3371--3385
\crossref{https://doi.org/10.1007/BF02172816}
Linking options:
  • https://www.mathnet.ru/eng/znsl454
  • https://www.mathnet.ru/eng/znsl/v239/p140
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:461
    Full-text PDF :182
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024