Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral

D. Gilbarg; H. F. Weinberger

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1978)

  • Volume: 5, Issue: 2, page 381-404
  • ISSN: 0391-173X

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Gilbarg, D., and Weinberger, H. F.. "Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 5.2 (1978): 381-404. <http://eudml.org/doc/83782>.

@article{Gilbarg1978,
author = {Gilbarg, D., Weinberger, H. F.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {2},
pages = {381-404},
publisher = {Scuola normale superiore},
title = {Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral},
url = {http://eudml.org/doc/83782},
volume = {5},
year = {1978},
}

TY - JOUR
AU - Gilbarg, D.
AU - Weinberger, H. F.
TI - Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1978
PB - Scuola normale superiore
VL - 5
IS - 2
SP - 381
EP - 404
LA - eng
UR - http://eudml.org/doc/83782
ER -

References

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  1. [1] D. Gilbarg - H. Weinberger, Asymptotic properties of Leray's solutions of the stationary two-dimensional Navier-Stokes equations, Uspehi Mat. Nauk, 29, No. 2 (1974), pp. 109-122 (Russian). English translation in Russian Math. Surveys, 29, No. 2 (1974), pp. 109-123. Zbl0304.35071MR481655
  2. [2] J. Leray, Etudes de diverses equations integrales non lineaires et de quelques problèmes que pose l'hydrodynamique, J. Math. Pures Appl., 12 (1933), pp. 1-82. Zbl0006.16702JFM59.0402.01
  3. [3] D.R. Smith, Estimates at infinity for stationary solutions of the Navier-Stokes equations in two dimensions, Arch. Rational Mech. Anal., 20 (1965), pp. 341-372. Zbl0149.44701MR185926
  4. [4] K. Babenko, On stationary solutions of the problem of flow past a body by a viscous incompressible fluid, Mat. Sb., 91 (1973), pp. 3-26 (Russian). English translation in Math. USSR-Sb., 20 (1973), pp. 1-25. Zbl0285.76009MR348301
  5. [5] L. Hörmander, An introduction to complex analysis in several variables, D. Van Nostrand Co., Princeton, 1966. Zbl0138.06203MR203075
  6. [6] R. Finn - J. Serrin, On the Hölder continuity of quasiconformal and elliptic mappings, Trans. Amer. Math. Soc., 89 (1958), pp. 1-15. Zbl0082.29401MR97626
  7. [7] H.F. Weinberger, A First Course in Partial Differential Equations, Wiley, New York, 1965. MR180739

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