Sibirskii Zhurnal Industrial'noi Matematiki
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


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 2, Pages 21–32
DOI: https://doi.org/10.17377/sibjim.2017.20.203 (Mi sjim955) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On weak solutions to evolution equations of viscoelastic fluid flows

E. S. Baranovskii

Voronezh State University, Universitetskaya pl., 1, 394036 Voronezh
Full-text PDF (265 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.17377/sibjim.2017.20.203
Abstract: We study the system of nonlinear equations describing unsteady flows of a viscoelastic fluid of Oldroyd type in a bounded three-dimensional domain with mixed boundary conditions. On one part of the boundary, the Navier slip condition is given, while on the other one, the no-slip condition is used. We prove the theorem on the existence, uniqueness, and energy estimates for weak solutions.
Keywords: initial boundary-value problem, weak solution, viscoelastic fluid, Oldroyd model, Navier slip boundary condition.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-00182 мол_а
Received: 01.02.2016
Revised: 29.11.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 2, Pages 174–184
DOI: https://doi.org/10.1134/S199047891702003X
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: E. S. Baranovskii, “On weak solutions to evolution equations of viscoelastic fluid flows”, Sib. Zh. Ind. Mat., 20:2 (2017), 21–32; J. Appl. Industr. Math., 11:2 (2017), 174–184
Citation in format AMSBIB
\Bibitem{Bar17}
\by E.~S.~Baranovskii
\paper On weak solutions to evolution equations of viscoelastic fluid flows
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 2
\pages 21--32
\mathnet{http://mi.mathnet.ru/sjim955}
\crossref{https://doi.org/10.17377/sibjim.2017.20.203}
\elib{https://elibrary.ru/item.asp?id=29116858}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 2
\pages 174--184
\crossref{https://doi.org/10.1134/S199047891702003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019740700}
Linking options:
  • https://www.mathnet.ru/eng/sjim955
  • https://www.mathnet.ru/eng/sjim/v20/i2/p21
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:361
    Full-text PDF :89
    References:84
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024