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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 259, Pages 238–253 (Mi znsl1059)  
Partial regularity for solutions to the modified Navier–Stokes equations

G. A. Seregin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (203 kB)
Abstract: The initial-boundary value problem for the modified Navier–Stokes equations is considered in the case of the homogeneous Dirichlet boundary conditions. Under some assumptions partial regularity for its solution is proved. It is shown that Hausdorff's dimension of the set of singular points is not greater than three.
Received: 19.07.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 5, Pages 1984–1996
DOI: https://doi.org/10.1023/A:1014404727381
Bibliographic databases:
UDC: 517.9
Language: English
Citation: G. A. Seregin, “Partial regularity for solutions to the modified Navier–Stokes equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Zap. Nauchn. Sem. POMI, 259, POMI, St. Petersburg, 1999, 238–253; J. Math. Sci. (New York), 109:5 (2002), 1984–1996
Citation in format AMSBIB
\Bibitem{Ser99}
\by G.~A.~Seregin
\paper Partial regularity for solutions to the modified Navier--Stokes equations
\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 238--253
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1059}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754366}
\zmath{https://zbmath.org/?q=an:0980.35130}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 5
\pages 1984--1996
\crossref{https://doi.org/10.1023/A:1014404727381}
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