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, 2004, Volume 308, Pages 197–224 (Mi znsl835)  
This article is cited in 1 scientific paper (total in 1 paper)

Combined method of calculation of the field of the point source in a waveguide. (Layer media)

N. Ya. Kirpichnikova, V. B. Philippov, N. G. Vlasjuk

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (323 kB) Citations (1)
References:
PDF
HTML
Abstract: The two-dimensional problem of propagation of waves, raised by a point source, in an interior layer wave guide is investigated. The Dirichlet condition is given on the bound of the wave guide and also two junction condition are defined on the interface between fluid and bottom. With help of cumbersome transformation the solution is represented as a sum of the geometro-optical waves, the normal waves and the residual is shown. The sufficient conditions on the general amount of the detached normal and geometro-optical waves are obtained. The residual is expressed by the simple formula.
Received: 01.03.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 132, Issue 1, Pages 113–129
DOI: https://doi.org/10.1007/s10958-005-0480-9
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. Ya. Kirpichnikova, V. B. Philippov, N. G. Vlasjuk, “Combined method of calculation of the field of the point source in a waveguide. (Layer media)”, Mathematical problems in the theory of wave propagation. Part 33, Zap. Nauchn. Sem. POMI, 308, POMI, St. Petersburg, 2004, 197–224; J. Math. Sci. (N. Y.), 132:1 (2006), 113–129
Citation in format AMSBIB
\Bibitem{KirPhiVla04}
\by N.~Ya.~Kirpichnikova, V.~B.~Philippov, N.~G.~Vlasjuk
\paper Combined method of calculation of the field of the point source in a~waveguide. (Layer media)
\inbook Mathematical problems in the theory of wave propagation. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 308
\pages 197--224
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl835}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2092619}
\zmath{https://zbmath.org/?q=an:1130.35122}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 132
\issue 1
\pages 113--129
\crossref{https://doi.org/10.1007/s10958-005-0480-9}
Linking options:
  • https://www.mathnet.ru/eng/znsl835
  • https://www.mathnet.ru/eng/znsl/v308/p197
    Cycle of papers
    This publication is cited in the following 1 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:211
    Full-text PDF :66
    References:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024