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, 2000, Volume 264, Pages 140–149 (Mi znsl1163)  
This article is cited in 3 scientific papers (total in 3 papers)

Parabolic equation and Pearcey-type integral for a transmitted wavefield

A. P. Kiseleva, A. S. Starkovb

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (192 kB) Citations (3)
Abstract: High-frequence wavefield of a point source situated near an interface of two homogeneous media and placed in the faster medium is considered. We are interested in description of a vicinity the critical ray in the slower medium. The description is given via the parabolic equation method. The result involves a Pearcey-type integral. The approach is not based on the Fourier method and can be generalised to inhomogeneous media with curved interfaces.
Received: 14.12.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 111, Issue 4, Pages 3702–3707
DOI: https://doi.org/10.1023/A:1016385909736
Bibliographic databases:
UDC: 517.946+539
Language: Russian
Citation: A. P. Kiselev, A. S. Starkov, “Parabolic equation and Pearcey-type integral for a transmitted wavefield”, Mathematical problems in the theory of wave propagation. Part 29, Zap. Nauchn. Sem. POMI, 264, POMI, St. Petersburg, 2000, 140–149; J. Math. Sci. (New York), 111:4 (2002), 3702–3707
Citation in format AMSBIB
\Bibitem{KisSta00}
\by A.~P.~Kiselev, A.~S.~Starkov
\paper Parabolic equation and Pearcey-type integral for a transmitted wavefield
\inbook Mathematical problems in the theory of wave propagation. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 264
\pages 140--149
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1796432}
\zmath{https://zbmath.org/?q=an:1044.74021}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 111
\issue 4
\pages 3702--3707
\crossref{https://doi.org/10.1023/A:1016385909736}
Linking options:
  • https://www.mathnet.ru/eng/znsl1163
  • https://www.mathnet.ru/eng/znsl/v264/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:210
    Full-text PDF :82
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024