Algebra i Analiz
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


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2020, Volume 32, Issue 2, Pages 229–253 (Mi aa1695)  
This article is cited in 3 scientific papers (total in 3 papers)

Research Papers

Nonuniqueness of Leray-Hopf solutions for a dyadic model

N. Filonovab, P. A. Khodunovc

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Saint Petersburg State University
c Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (285 kB) Citations (3)
References:
PDF
HTML
Abstract: The dyadic model $ \dot u_n + \lambda ^{2n}u_n - \lambda ^{\beta n}u_{n-1}^2 + \lambda ^{\beta (n+1)}u_nu_{n+1} = f_n$, $ u_n(0)=0$, is considered. It is shown that in the case of nontrivial right-hand side the system may have two different Leray-Hopf solutions.
Keywords: systems of ordinary differential equations, Navier–Stokes equations, dyadic model, nonuniqueness of solutions.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00099_а
The work was supported by RFBR grant, 17-01-00099-a.
Received: 11.11.2018
English version:
St. Petersburg Mathematical Journal, 2021, Volume 32, Issue 2, Pages 371–387
DOI: https://doi.org/10.1090/spmj/1651
Bibliographic databases:
Document Type: Article
MSC: Primary 35Q30; Secondary 34E05
Language: Russian
Citation: N. Filonov, P. A. Khodunov, “Nonuniqueness of Leray-Hopf solutions for a dyadic model”, Algebra i Analiz, 32:2 (2020), 229–253; St. Petersburg Math. J., 32:2 (2021), 371–387
Citation in format AMSBIB
\Bibitem{FilKho20}
\by N.~Filonov, P.~A.~Khodunov
\paper Nonuniqueness of Leray-Hopf solutions for a dyadic model
\jour Algebra i Analiz
\yr 2020
\vol 32
\issue 2
\pages 229--253
\mathnet{http://mi.mathnet.ru/aa1695}
\elib{https://elibrary.ru/item.asp?id=46760108}
\transl
\jour St. Petersburg Math. J.
\yr 2021
\vol 32
\issue 2
\pages 371--387
\crossref{https://doi.org/10.1090/spmj/1651}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000626332600008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85102845805}
Linking options:
  • https://www.mathnet.ru/eng/aa1695
  • https://www.mathnet.ru/eng/aa/v32/i2/p229
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025