Sibirskii Matematicheskii Zhurnal
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



Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find






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


Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 3, Pages 649–662 (Mi smj994)  

This article is cited in 24 scientific papers (total in 24 papers)

Existence of a nonstationary Poiseuille solution

V. Keblikas, K. Pileckas

Institute of Mathematics and Informatics
References:
Abstract: The nonstationary Poiseuille solution describing the flow of a viscous incompressible fluid in an infinite cylinder is defined as a solution of the inverse problem for the heat equation. The existence and uniqueness of such nonstationary Poiseuille solution with the prescribed flux $F(t)$ of the velocity field is studied. It is proved that under some compatibility conditions on the initial data and flux $F(t)$ the corresponding inverse problem has a unique solution in Holder spaces.
Keywords: Navier–Stokes equations, heat equation, inverse problem, integral equations, nonstationary Poiseuille solutions.
Received: 03.09.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 3, Pages 514–526
DOI: https://doi.org/10.1007/s11202-005-0053-7
Bibliographic databases:
UDC: 517.958:532.516.5
Language: Russian
Citation: V. Keblikas, K. Pileckas, “Existence of a nonstationary Poiseuille solution”, Sibirsk. Mat. Zh., 46:3 (2005), 649–662; Siberian Math. J., 46:3 (2005), 514–526
Citation in format AMSBIB
\Bibitem{KebPil05}
\by V.~Keblikas, K.~Pileckas
\paper Existence of a nonstationary Poiseuille solution
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 3
\pages 649--662
\mathnet{http://mi.mathnet.ru/smj994}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2164567}
\zmath{https://zbmath.org/?q=an:1081.35147}
\elib{https://elibrary.ru/item.asp?id=14340151}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 3
\pages 514--526
\crossref{https://doi.org/10.1007/s11202-005-0053-7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000229958200014}
Linking options:
  • https://www.mathnet.ru/eng/smj994
  • https://www.mathnet.ru/eng/smj/v46/i3/p649
  • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:506
    Full-text PDF :147
    References:76
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024