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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 4, Pages 49–63 (Mi fpm859)  

This article is cited in 4 scientific papers (total in 4 papers)

On the convergence of solutions of regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem

D. A. Vorotnikov, V. G. Zvyagin

Voronezh State University
Full-text PDF (173 kB) Citations (4)
References:
Abstract: In this work, we consider initial-boundary-value problems for motion equations of viscoelastic medium with the Jeffreys constitutive law and for motion equations of the regularized Jeffreys model. We obtain a theorem on the convergence of weak solutions of initial-boundary-value problems for the regularized model to weak solutions of the original problem as the regularization parameter tends to zero.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 144, Issue 5, Pages 4398–4408
DOI: https://doi.org/10.1007/s10958-007-0277-0
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: D. A. Vorotnikov, V. G. Zvyagin, “On the convergence of solutions of regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem”, Fundam. Prikl. Mat., 11:4 (2005), 49–63; J. Math. Sci., 144:5 (2007), 4398–4408
Citation in format AMSBIB
\Bibitem{VorZvy05}
\by D.~A.~Vorotnikov, V.~G.~Zvyagin
\paper On the convergence of solutions of regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 4
\pages 49--63
\mathnet{http://mi.mathnet.ru/fpm859}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2192954}
\zmath{https://zbmath.org/?q=an:1160.74012}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 144
\issue 5
\pages 4398--4408
\crossref{https://doi.org/10.1007/s10958-007-0277-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547528851}
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  • https://www.mathnet.ru/eng/fpm/v11/i4/p49
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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