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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 259, Pages 145–166 (Mi znsl1054)  
This article is cited in 16 scientific papers (total in 17 papers)

On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity

O. A. Ladyzhenskaya, G. A. Seregin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (260 kB) Citations (17)
Abstract: 2D equations, describing the motion of generalized Newtonian fluids, are considered. It is shown that for smooth data of corresponding initial-boundary value problems any spatial derivative of the velocity field is a locally Lipschitz function.
Received: 31.12.1998
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 5, Pages 1911–1928
DOI: https://doi.org/10.1023/A:1014444308725
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: O. A. Ladyzhenskaya, G. A. Seregin, “On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity”, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Zap. Nauchn. Sem. POMI, 259, POMI, St. Petersburg, 1999, 145–166; J. Math. Sci. (New York), 109:5 (2002), 1911–1928
Citation in format AMSBIB
\Bibitem{LadSer99}
\by O.~A.~Ladyzhenskaya, G.~A.~Seregin
\paper On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 259
\pages 145--166
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1054}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754361}
\zmath{https://zbmath.org/?q=an:1060.76005}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 5
\pages 1911--1928
\crossref{https://doi.org/10.1023/A:1014444308725}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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