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, 2011, Volume 397, Pages 89–114 (Mi znsl4669)  
This article is cited in 1 scientific paper (total in 1 paper)

Double-sided estimates for eigenfrequencies in the John problem for freely floating body

S. A. Nazarova, J. Taskinenb

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
b University of Helsinki, Department of Mathematics and Statistics, Helsinki, Finland
Full-text PDF (333 kB) Citations (1)
References:
PDF
HTML
Abstract: The two-dimensional problem on oblique incident waves and a freely floating cylinder is reduced to the study of the spectrum of a suitable self-adjoint operator in Hilbert space. Using tools from spectral measure theory we estimate the difference between eigenfrequencies of the original problem and a problem on an inert body, which does not react to the buoyancy forces. We give the localization of eigenfrequencies of the freely floating body, and in addition derive a sufficient condition for the existence of the point spectrum in the corresponding boundary value problem.
Key words and phrases: surface waves, trapped modes, freely floating body, comparison principle.
Received: 18.10.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 5, Pages 707–720
DOI: https://doi.org/10.1007/s10958-012-0954-5
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: S. A. Nazarov, J. Taskinen, “Double-sided estimates for eigenfrequencies in the John problem for freely floating body”, Boundary-value problems of mathematical physics and related problems of function theory. Part 42, Zap. Nauchn. Sem. POMI, 397, POMI, St. Petersburg, 2011, 89–114; J. Math. Sci. (N. Y.), 185:5 (2012), 707–720
Citation in format AMSBIB
\Bibitem{NazTas11}
\by S.~A.~Nazarov, J.~Taskinen
\paper Double-sided estimates for eigenfrequencies in the John problem for freely floating body
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~42
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 397
\pages 89--114
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4669}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870110}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 5
\pages 707--720
\crossref{https://doi.org/10.1007/s10958-012-0954-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866927088}
Linking options:
  • https://www.mathnet.ru/eng/znsl4669
  • https://www.mathnet.ru/eng/znsl/v397/p89
    • 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:196
    Full-text PDF :55
    References:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024