Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2008, Volume 84, Issue 2, Pages 238–253
DOI: https://doi.org/10.4213/mzm4067 (Mi mzm4067) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On the Strong Solutions of a Regularized Model of a Nonlinear Visco-Elastic Medium

V. P. Orlov

Voronezh State University
Full-text PDF (523 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4067
Abstract: We consider the initial boundary-value problem for the system of equations describing the motion of a nonlinear visco-elastic medium with memory along the trajectories of the velocity field; the system in question is a generalization of the system of Navier–Stokes equations. We establish existence and uniqueness theorems for strong solutions containing higher derivatives that are square-integrable in the plane case.
Keywords: nonlinear visco-elastic medium, Navier–Stokes equations, initial boundary-value problem, existence and uniqueness theorem, regularization, Sobolev space.
Received: 14.03.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 2, Pages 224–238
DOI: https://doi.org/10.1134/S0001434608070237
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: V. P. Orlov, “On the Strong Solutions of a Regularized Model of a Nonlinear Visco-Elastic Medium”, Mat. Zametki, 84:2 (2008), 238–253; Math. Notes, 84:2 (2008), 224–238
Citation in format AMSBIB
\Bibitem{Orl08}
\by V.~P.~Orlov
\paper On the Strong Solutions of a Regularized Model of a Nonlinear Visco-Elastic Medium
\jour Mat. Zametki
\yr 2008
\vol 84
\issue 2
\pages 238--253
\mathnet{http://mi.mathnet.ru/mzm4067}
\crossref{https://doi.org/10.4213/mzm4067}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2475051}
\transl
\jour Math. Notes
\yr 2008
\vol 84
\issue 2
\pages 224--238
\crossref{https://doi.org/10.1134/S0001434608070237}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000258855600023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-50849139145}
Linking options:
  • https://www.mathnet.ru/eng/mzm4067
  • https://doi.org/10.4213/mzm4067
  • https://www.mathnet.ru/eng/mzm/v84/i2/p238
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:442
    Full-text PDF :218
    References:59
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024