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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 295, Pages 90–98 (Mi znsl1250)  
This article is cited in 2 scientific papers (total in 2 papers)

Initial boundary value problems for linear viscoelastic flows generated by integrodifferential equations

N. A. Karazeeva

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (156 kB) Citations (2)
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Abstract: An estimate of the velocity field is obtained for the equation of motion of incompressible media. With the help of this estimate, the integro-differential equations that describe the motion of linear viscoelastic fluids in the twodimensional case are studied. The existence is proved for a weak, global in time, solution of the Cauchy problem and of the initial boundary value problem with periodic boundary conditions.
Received: 09.01.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 127, Issue 2, Pages 1869–1874
DOI: https://doi.org/10.1007/s10958-005-0147-6
Bibliographic databases:
UDC: 517
Language: English
Citation: N. A. Karazeeva, “Initial boundary value problems for linear viscoelastic flows generated by integrodifferential equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 33, Zap. Nauchn. Sem. POMI, 295, POMI, St. Petersburg, 2003, 90–98; J. Math. Sci. (N. Y.), 127:2 (2005), 1869–1874
Citation in format AMSBIB
\Bibitem{Kar03}
\by N.~A.~Karazeeva
\paper Initial boundary value problems for linear viscoelastic flows generated by integrodifferential equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 295
\pages 90--98
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1250}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1983113}
\zmath{https://zbmath.org/?q=an:1079.76010}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 127
\issue 2
\pages 1869--1874
\crossref{https://doi.org/10.1007/s10958-005-0147-6}
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  • https://www.mathnet.ru/eng/znsl/v295/p90
    • 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
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