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 Mat. Sb. (N.S.), 1973, Volume 91(133), Number 1(5), Pages 3–26 (Mi msb3072)

On stationary solutions of the problem of flow past a body of a viscous incompressible fluid

K. I. Babenko

Abstract: The stationary solutions of the problem of flow past a body with finite Dirichlet integral are considered. It is found that the vector velocity $\mathbf u(\mathbf x)$ differs from its limit value $\mathbf u_\infty$ by a quantity $O(|\mathbf x|^{-1})$. By the same token it is proved that any solution of the flow problem with finite Dirichlet integral possesses a wake outside which the vorticity is exponentially small.
Bibliography: 16 titles.

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English version:
Mathematics of the USSR-Sbornik, 1973, 20:1, 1–25

Bibliographic databases:

UDC: 532.516
MSC: Primary 76D05; Secondary 76D25, 35Q10, 76D10

Citation: K. I. Babenko, “On stationary solutions of the problem of flow past a body of a viscous incompressible fluid”, Mat. Sb. (N.S.), 91(133):1(5) (1973), 3–26; Math. USSR-Sb., 20:1 (1973), 1–25

Citation in format AMSBIB
\Bibitem{Bab73} \by K.~I.~Babenko \paper On~stationary solutions of the problem of flow past a~body of a~viscous incompressible fluid \jour Mat. Sb. (N.S.) \yr 1973 \vol 91(133) \issue 1(5) \pages 3--26 \mathnet{http://mi.mathnet.ru/msb3072} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=348301} \zmath{https://zbmath.org/?q=an:0285.76009} \transl \jour Math. USSR-Sb. \yr 1973 \vol 20 \issue 1 \pages 1--25 \crossref{https://doi.org/10.1070/SM1973v020n01ABEH001823} 

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