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, 1999, Volume 253, Pages 245–268 (Mi znsl885)  

Classical and generalized Love problems in the domain of low-frequency interference waves of the signal type. II

N. S. Smirnova, Yu. A. Surkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract: Computation of the low-frequency interference waves of the SH-type in the generalized Love problem is considered. The model of the medium consists of the thin elastic layer, the thick layer and the half-space. The layers and the half-space are in a rigid contact with each other. It is assumed that the waves pass through the thick layer twice, there and back. A new method suggested by G. I. Petrashen for computation of wave fields allows us to compute the fields of the SH-waves and to make some conclusions concerning its behavior. The computations are considered for two cases $\gamma<1$ and $\gamma>1$ where $\gamma$ is a ratio of the velocities in the thin and the thick layers. In both cases, the thin layer essentially distorts a signal transmitted deep into the medium.
Received: 16.10.1997
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 105, Issue 3, Pages 2090–2108
DOI: https://doi.org/10.1023/A:1011316805861
Bibliographic databases:
UDC: 550.344
Language: Russian
Citation: N. S. Smirnova, Yu. A. Surkov, “Classical and generalized Love problems in the domain of low-frequency interference waves of the signal type. II”, Interference waves in layered media. Part 3, Zap. Nauchn. Sem. POMI, 253, POMI, St. Petersburg, 1999, 245–268; J. Math. Sci. (New York), 105:3 (2001), 2090–2108
Citation in format AMSBIB
\Bibitem{SmiSur99}
\by N.~S.~Smirnova, Yu.~A.~Surkov
\paper Classical and generalized Love problems in the domain of low-frequency interference waves of the signal type.~II
\inbook Interference waves in layered media. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 253
\pages 245--268
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl885}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1755904}
\zmath{https://zbmath.org/?q=an:1112.74410}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 105
\issue 3
\pages 2090--2108
\crossref{https://doi.org/10.1023/A:1011316805861}
Linking options:
  • https://www.mathnet.ru/eng/znsl885
  • https://www.mathnet.ru/eng/znsl/v253/p245
    Cycle of papers
    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:184
    Full-text PDF :64
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024