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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 348, Pages 254–271 (Mi znsl68)  
This article is cited in 1 scientific paper (total in 1 paper)

Existence of global solutions for a parabolic system related to the nonlinear Stokes problem

M. Fuchsa, G. A. Sereginb

a Saarland University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: In this note we consider an initial-boundary value problem describing a nonlinear variant of the nonstationary Stokes equation. We prove the existence of a (unique) global solution with Galerkin-type arguments. This result is not new but the method can be seen as an alternative to the technique presented for example in [7].
Received: 05.10.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 152, Issue 5, Pages 769–779
DOI: https://doi.org/10.1007/s10958-008-9088-1
Bibliographic databases:
UDC: 517
Language: English
Citation: M. Fuchs, G. A. Seregin, “Existence of global solutions for a parabolic system related to the nonlinear Stokes problem”, Boundary-value problems of mathematical physics and related problems of function theory. Part 38, Zap. Nauchn. Sem. POMI, 348, POMI, St. Petersburg, 2007, 254–271; J. Math. Sci. (N. Y.), 152:5 (2008), 769–779
Citation in format AMSBIB
\Bibitem{FucSer07}
\by M.~Fuchs, G.~A.~Seregin
\paper Existence of global solutions for a parabolic
system related to the nonlinear Stokes problem
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 348
\pages 254--271
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl68}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 152
\issue 5
\pages 769--779
\crossref{https://doi.org/10.1007/s10958-008-9088-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-51749118476}
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  • https://www.mathnet.ru/eng/znsl/v348/p254
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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