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 Uspekhi Mat. Nauk, 1974, Volume 29, Issue 2(176), Pages 109–122 (Mi umn4358)

Asymptotic properties of Leray's solution of the stationary two-dimensional Navier–Stokes equations

H. F. Weinberger, D. Gilbarg

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English version:
Russian Mathematical Surveys, 1974, 29:2, 109–123

Bibliographic databases:

UDC: 517.9
MSC: 35Q30, 76D05, 35B40

Citation: H. F. Weinberger, D. Gilbarg, “Asymptotic properties of Leray's solution of the stationary two-dimensional Navier–Stokes equations”, Uspekhi Mat. Nauk, 29:2(176) (1974), 109–122; Russian Math. Surveys, 29:2 (1974), 109–123

Citation in format AMSBIB
\Bibitem{WeiGil74} \by H.~F.~Weinberger, D.~Gilbarg \paper Asymptotic properties of Leray's solution of the stationary two-dimensional Navier--Stokes equations \jour Uspekhi Mat. Nauk \yr 1974 \vol 29 \issue 2(176) \pages 109--122 \mathnet{http://mi.mathnet.ru/umn4358} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=481655} \zmath{https://zbmath.org/?q=an:0299.35081|0304.35071} \transl \jour Russian Math. Surveys \yr 1974 \vol 29 \issue 2 \pages 109--123 \crossref{https://doi.org/10.1070/RM1974v029n02ABEH003843} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. C. J. Amick, L. E. Fraenkel, “Steady solutions of the Navier–Stokes equations representing plane flow in channels of various types”, Acta Math, 144:1 (1980), 83
2. Charles J. Amick, “On Leray’s problem of steady Navier–Stokes flow past a body in the plane”, Acta Math, 161:1 (1988), 71
3. Vivette Girault, Adelia Sequeira, “A well-posed problem for the exterior Stokes equations in two and three dimensions”, Arch Rational Mech Anal, 114:4 (1991), 313
4. Charles J Amick, “On the asymptotic form of Navier–Stokes flow past a body in the plane”, Journal of Differential Equations, 91:1 (1991), 149
5. V. Girault, J. Giroire, A. Sequeira, “A stream-function-vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces”, Math Meth Appl Sci, 15:5 (1992), 345
6. Giovanni P. Galdi, Hermann Sohr, “On the asymptotic structure of plane steady flow of a viscous fluid in exterior domains”, Arch Rational Mech Anal, 131:2 (1995), 101
7. J. Nečas, M. Růžička, V. Šverák, “On Leray's self-similar solutions of the Navier–Stokes equations”, Acta Math, 176:2 (1996), 283
8. L. I. Sazonov, “On the asymptotic behavior of the solution of the two-dimensional stationary problem of the flow past a body far from it”, Math. Notes, 65:2 (1999), 202–207
9. PawełKonieczny, “On Nonhomogeneous Slip Boundary Conditions for 2D Incompressible Exterior Fluid Flows”, Acta Appl Math, 2008
10. PawełKonieczny, “Thorough analysis of the Oseen system in 2D exterior domains”, Math Meth Appl Sci, 2009, n/a
11. Giovanni P. Galdi, Carlo R. Grisanti, “Existence and Regularity of Steady Flows for Shear-Thinning Liquids in Exterior Two-Dimensional”, Arch Rational Mech Anal, 2010
12. Antonio Russo, “On symmetric Leray solutions of the stationary Navier–Stokes equations”, Ricerche mat, 2010
13. Konstantin Pileckas, Remigio Russo, “On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier–Stokes problem”, Math. Ann, 2011
14. P Konieczny, P B Mucha, “Directional approach to spatial structure of solutions to the Navier–Stokes equations in the plane”, Nonlinearity, 24:6 (2011), 1861
15. Antonio Russo, Alfonsina Tartaglione, “On the Navier problem for the stationary Navier–Stokes equations”, Journal of Differential Equations, 251:9 (2011), 2387
16. Mikhail V. Korobkov, Konstantin Pileckas, Remigio Russo, “On the Flux Problem in the Theory of Steady Navier–Stokes Equations with Nonhomogeneous Boundary Conditions”, Arch Rational Mech Anal, 2012
17. S. V. Zakharov, “Regular asymptotics of a generalized solution of the stationary Navier–Stokes system”, Proc. Steklov Inst. Math. (Suppl.), 281, suppl. 1 (2013), 146–151
18. Mikhail Korobkov, Konstantin Pileckas, Remigio Russo, “The existence of a solution with finite Dirichlet integral for the steady Navier–Stokes equations in a plane exterior symmetric domain”, Journal de Mathématiques Pures et Appliquées, 2013
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