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Algebra i Analiz, 2006, Volume 18, Issue 2, Pages 1–23 (Mi aa66)  
This article is cited in 12 scientific papers (total in 12 papers)

Research Papers

On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids

M. Bildhauera, M. Fuchsa, X. Zhongb

a Department of Mathematics, Saarland University, Saarbrücken, Germany
b Department of Mathematics and Statistics, University of Jyväskylä, Finland
Full-text PDF (226 kB) Citations (12)
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Abstract: A system of nonautonomous partial differential equations describing the steady flow of an incompressible fluid is considered. The existence of a strong solution of that system is proved under suitable assumptions on the data. In the 2D-case this solution turns out to be of class $C^{1,\alpha}$.
Keywords: generalized Newtonian fluids, anisotropic dissipative potentials, existence and regularity of solutions.
Received: 31.10.2005
English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 2, Pages 183–199
DOI: https://doi.org/10.1090/S1061-0022-07-00948-X
Bibliographic databases:
Document Type: Article
MSC: 76M30, 76B03, 35Q35
Language: English
Citation: M. Bildhauer, M. Fuchs, X. Zhong, “On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids”, Algebra i Analiz, 18:2 (2006), 1–23; St. Petersburg Math. J., 18:2 (2007), 183–199
Citation in format AMSBIB
\Bibitem{BilFucZho06}
\by M.~Bildhauer, M.~Fuchs, X.~Zhong
\paper On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids
\jour Algebra i Analiz
\yr 2006
\vol 18
\issue 2
\pages 1--23
\mathnet{http://mi.mathnet.ru/aa66}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2244934}
\zmath{https://zbmath.org/?q=an:1129.35061}
\transl
\jour St. Petersburg Math. J.
\yr 2007
\vol 18
\issue 2
\pages 183--199
\crossref{https://doi.org/10.1090/S1061-0022-07-00948-X}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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