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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 243, Pages 138–153 (Mi znsl499)  

This article is cited in 18 scientific papers (total in 19 papers)

On a global unique solvability of some two-dimensional problems for the water solutions of polymers

O. A. Ladyzhenskaya

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract: A global unique solvability of the two-dimensional unitial boundary value problem with some slip-boundary conditions for a quasilinear system describing the flows of weak water solutions of polymers is proved. It is noted that for this system a global unique solvability of the Cauchy problem and the initial boundary problem with the periodic boundary conditions are proved in a similar way.
Received: 12.02.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 1, Pages 888–897
DOI: https://doi.org/10.1007/BF02673597
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: O. A. Ladyzhenskaya, “On a global unique solvability of some two-dimensional problems for the water solutions of polymers”, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Zap. Nauchn. Sem. POMI, 243, POMI, St. Petersburg, 1997, 138–153; J. Math. Sci. (New York), 99:1 (2000), 888–897
Citation in format AMSBIB
\Bibitem{Lad97}
\by O.~A.~Ladyzhenskaya
\paper On a global unique solvability of some two-dimensional problems for the water solutions of polymers
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 243
\pages 138--153
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl499}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1629729}
\zmath{https://zbmath.org/?q=an:0905.35066}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 1
\pages 888--897
\crossref{https://doi.org/10.1007/BF02673597}
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  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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