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The problem of momentumless flow for the Navier-Stokes equations

  • Flows In Unbounded Domains
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References

  1. Finn R., On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems, Arch.for Rational Mech.and Anal. 1965-V.19, Nr. 5.

    Google Scholar 

  2. Babenko K.I. On stationary solutions of the problem of viscous flow past a body.-Math. Sbornik, 1973, V.9, (133), Nr. 5

    Google Scholar 

  3. Ladyzhenskaya O.A., Mathematical problems of a viscous incompressible flow.-Moskow, Nauka, 1970.

    MATH  Google Scholar 

  4. Pukhnachov V.V., On some modifications of the problem of a flow past a body.-Problems of Mathematics and Mechanics, Novosibirsk, Nauka, 1983.

    Google Scholar 

  5. Lugovtsov A.A., Lugovtsov B.A., Example of a viscous incompressible flow past a body with a moving boundary.-Dynamics of cont.media Nr.8, Novosibirsk, 1971.

    Google Scholar 

  6. Sennitsky V.L., On a flow past a self-moving body.-Journal of Appl. Mech. and Techn. Physics (PMTF) 1978, Nr. 3.

    Google Scholar 

  7. Sennitsky V.L., Example of an antisymmetrical flow past a self-moving body.-Journ. of Appl. Mech. and Techn. Physics (PMTF), 1984, Nr. 4.

    Google Scholar 

  8. Sennitsky V.L., Cylinders rotating in a viscous fluid, I-Dynamics of Cont. Media, Nr.21, Novosibirsk, 1975.

    Google Scholar 

  9. Sennitsky, V.L. Cylinders rotating in a viscous fluid, II-Dynamics of Cont. Media, Nr. 23, Novosibirsk, 1975.

    Google Scholar 

  10. Izleuov M.I., Calculation of a momentumless flow past an ellipsoid.-Problems of a viscous flow, Novosibirsk, 1975.

    Google Scholar 

  11. Pukhnachov V.V., Sennitsky V.L., Stationary viscous flow around self-moving bodies, IUTAM Symposium "Fluid Mechanics in the spirit of G.I. Taylor".-Cambridge, U.K., 1986.

    Google Scholar 

  12. Lions J.L., Magenes E. Problèmes aus limites non homogènes et applications.-Paris, Dunod, 1968.

    MATH  Google Scholar 

  13. Happel J., Brenner H., Low Reynolds number Hydrodynamics.-Prentice-Hall, 1965.

    Google Scholar 

  14. Fischer, T.M., Hsiao, G.C., Wendland W.L., Singular perturbations for the exterior three-dimensional slow viscous flow problem, J. of Math. Anal. and Applications.-1985-V. 110, Nr. 2.

    Google Scholar 

  15. Babenko K.I., Vasilev M.M., Asymptotic behavior of viscous flow past a body, Preprint Inst. of Appl. Math. of USSR Ac.Sc. Nr. 84, Moscow 1971.

    Google Scholar 

  16. Clark D.C., The vorticity at infinity for solutions of the stationary Navier-Stokes equations in exterior domains, Indiana Univ. Math. J.-1971 V. 20,Nr. 7.

    Google Scholar 

  17. Finn R., An energy theorem for viscous fluid motions, Archive for Rational Mech. and Anal.-1960 V.6, Nr. 5.

    Google Scholar 

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Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Sibirian Division of the USSR Academy of Sciences Novosibirsk, 630090, USSR

    V. V. Pukhnachov

Authors
  1. V. V. Pukhnachov
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Editor information

John G. Heywood Kyûya Masuda Reimund Rautmann Vsevolod A. Solonnikov

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© 1990 Springer-Verlag

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Pukhnachov, V.V. (1990). The problem of momentumless flow for the Navier-Stokes equations. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086058

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  • DOI: https://doi.org/10.1007/BFb0086058

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52770-1

  • Online ISBN: 978-3-540-47141-7

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