Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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



Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find






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


Zh. Vychisl. Mat. Mat. Fiz., 2013, Volume 53, Number 1, Pages 90–118 (Mi zvmmf9797)  

Propagation of perturbations in a two-layer stratified rotating fluid with an interface excited by moving sources

L. V. Perova

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: Propagation of small perturbations in a two-layer inviscid stratified uniformly rotating fluid is studied assuming that the higher and lower density fluids occupy unbounded lower and upper half-spaces, respectively. The source of excitation is a plane wave travelling along the interface of the fluids. An explicit analytical solution of the problem is constructed, and its existence and uniqueness is proved. The long-time wave pattern developing in the fluids is analyzed.

Key words: propagation of perturbations in stratified fluid, rotating fluid, stream function, internal waves, surface waves.

DOI: https://doi.org/10.7868/S0044466913010080

Full text: PDF file (1733 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2013, 53:1, 93–118

Bibliographic databases:

UDC: 519.634
Received: 11.07.2012

Citation: L. V. Perova, “Propagation of perturbations in a two-layer stratified rotating fluid with an interface excited by moving sources”, Zh. Vychisl. Mat. Mat. Fiz., 53:1 (2013), 90–118; Comput. Math. Math. Phys., 53:1 (2013), 93–118

Citation in format AMSBIB
\Bibitem{Per13}
\by L.~V.~Perova
\paper Propagation of perturbations in a two-layer stratified rotating fluid with an interface excited by moving sources
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2013
\vol 53
\issue 1
\pages 90--118
\mathnet{http://mi.mathnet.ru/zvmmf9797}
\crossref{https://doi.org/10.7868/S0044466913010080}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3249018}
\zmath{https://zbmath.org/?q=an:06183606}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2013CMMPh..53...93P}
\elib{https://elibrary.ru/item.asp?id=18446745}
\transl
\jour Comput. Math. Math. Phys.
\yr 2013
\vol 53
\issue 1
\pages 93--118
\crossref{https://doi.org/10.1134/S0965542513010065}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000314309400008}
\elib{https://elibrary.ru/item.asp?id=21909651}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84892990301}


Linking options:
  • http://mi.mathnet.ru/eng/zvmmf9797
  • http://mi.mathnet.ru/eng/zvmmf/v53/i1/p90

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Number of views:
    This page:140
    Full text:48
    References:23
    First page:8

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021