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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 210, Pages 241–250 (Mi znsl5872)  
This article is cited in 3 scientific papers (total in 3 papers)

Initial-boundary value problem with a free surface condition for the penalized equations of aqueous solutions of polymers

A. P. Oskolkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (338 kB) Citations (3)
Abstract: The existence “in a small” of the solutions of the perturbed initialboundary value problems (1), (2) and (2), (3) is proved. The convergence for $\varepsilon\to0$ of the solutions $\{v^\varepsilon\}$ of these problems to the solution of the initial-boundary value problem (4), (3) for the equations of aqueous solutions of polymers (4) is investigated. Bibliography: 10 titles.
Received: 28.05.1993
English version:
Journal of Mathematical Sciences, 1997, Volume 83, Issue 2, Pages 320–326
DOI: https://doi.org/10.1007/BF02405826
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. P. Oskolkov, “Initial-boundary value problem with a free surface condition for the penalized equations of aqueous solutions of polymers”, Mathematical problems in the theory of wave propagation. Part 23, Zap. Nauchn. Sem. POMI, 210, Nauka, St. Petersburg, 1994, 241–250; J. Math. Sci., 83:2 (1997), 320–326
Citation in format AMSBIB
\Bibitem{Osk94}
\by A.~P.~Oskolkov
\paper Initial-boundary value problem with a~free surface condition for the penalized equations of aqueous solutions of polymers
\inbook Mathematical problems in the theory of wave propagation. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 210
\pages 241--250
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5872}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1334757}
\zmath{https://zbmath.org/?q=an:0872.35085}
\transl
\jour J. Math. Sci.
\yr 1997
\vol 83
\issue 2
\pages 320--326
\crossref{https://doi.org/10.1007/BF02405826}
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    • 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
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