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


Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 6, Page 1022
DOI: https://doi.org/10.7868/S0044466914060143
(Mi zvmmf10054)
 

This article is cited in 9 scientific papers (total in 9 papers)

A solution of the Blasius problem

V. P. Varin

Keldysh Institute of Applied Mathematics RAS, Miusskaja pl. 4, Moscow, 125047, Russia
Full-text PDF (95 kB) Citations (9)
References:
Abstract: The classical Blasius boundary layer problem in its simplest statement consists in finding an initial value for the function satisfying the Blasius ODE on semi-infinite interval such that a certain condition at infinity be satisfied. Despite an apparent simplicity of the problem and more than a century of effort of numerous scientists, this elusive constant is determined at present numerically and not much better than it was done by Töpfer in 1912. Here we find this (Blasius) constant rigorously in closed form as a convergent series of rational numbers. Asymptotic behaviour, and lower and upper bounds for the partial sums of the series are also given.
Key words: Blasius problem, Crocco equation, rational approximations, acceleration of convergence.
Received: 11.06.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 6, Pages 1025–1036
DOI: https://doi.org/10.1134/S096554251406013X
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: 34B40 (34M25)
Language: English
Citation: V. P. Varin, “A solution of the Blasius problem”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014), 1022; Comput. Math. Math. Phys., 54:6 (2014), 1025–1036
Citation in format AMSBIB
\Bibitem{Var14}
\by V.~P.~Varin
\paper A solution of the Blasius problem
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2014
\vol 54
\issue 6
\pages 1022
\mathnet{http://mi.mathnet.ru/zvmmf10054}
\crossref{https://doi.org/10.7868/S0044466914060143}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3217273}
\elib{https://elibrary.ru/item.asp?id=21564455}
\transl
\jour Comput. Math. Math. Phys.
\yr 2014
\vol 54
\issue 6
\pages 1025--1036
\crossref{https://doi.org/10.1134/S096554251406013X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000337148400012}
\elib{https://elibrary.ru/item.asp?id=24058442}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902438208}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10054
  • https://www.mathnet.ru/eng/zvmmf/v54/i6/p1022
    Cycle of papers
    This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024