Article PDF
Avoid common mistakes on your manuscript.
References
Amick, C. J., 1988, On Leray's Problem of Steady Navier-Stokes Flow Past a Body in the Plane, Acta Math. 161, 71–130.
Amick, C. J., 1991, On the Asymptotic Form of Navier-Stokes Flow Past a Body in the Plane, J. Diff. Eqs. 91, 149–167.
Babenko, K. I., 1973, On Stationary Solutions of the Problem of Flow Past a Body of a Viscous Incompressible Fluid, Mat. Sb., 91 (133), 3–27; English Transl.: Math. SSSR Sbornik, 20 1973, 1–25.
Finn, R., 1959, Estimates at Infinity for Stationary Solutions of the Navier-Stokes Equations, Bull. Math. Soc. Sci. Math. Phys. R. P. Roumaine 3 (51), 387–418.
Finn, R., 1965, On the Exterior Stationary Problem for the Navier-Stokes Equations, and Associated Perturbation Problems, Arch. Rational Mech. Anal. 19, 363–406.
Finn, R. & Smith, D. R., 1967, On the Stationary Solution of the Navier-Stokes Equations in Two Dimensions, Arch. Rational Mech. Anal. 25, 26–39.
Galdi, G. P., 1991, On the Oseen Boundary-Value Problem in Exterior Domains, in Navier-Stokes Equations: Theory and Numerical Methods, Heywood, J. G., Masuda, K., Rautmann R. & Solonnikov, V. A., Eds., Springer-Verlag, 111–131.
Galdi, G. P., 1992, On the Asymptotic Structure of D-Solutions to Steady Navier-Stokes Equations in Exterior Domains, in Mathematical Problems Related to the Navier-Stokes Equation, Galdi, G. P., Ed., World Scientific, 81–105.
Galdi, G. P., 1993, Existence and Uniqueness at Low Reynolds Number of Stationary Plane Flow of a Viscous Fluid in Exterior Domains, in Recent Developments in Theoretical Fluid Mechanics, Galdi, G. P.,& Necas, J., Eds., Longman, Vol. 291, 1–33.
Galdi, G. P., 1994a, An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Linearized Steady Problems, Springer-Verlag.
Galdi, G. P., 1994b, An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Nonlinear Steady Problems, Springer-Verlag.
Gilbarg, D. & Weinberger, H. F., 1974, Asymptotic Properties of Leray's Solution of the Stationary Two-Dimensional Navier-Stokes Equations, Russian Math. Surveys 29, 109–123.
Gilbarg, D. & Weinberger, H. F., 1978, Asymptotic Properties of Steady Plane Solutions of the Navier-Stokes Equations with Bounded Dirichlet Integral, Ann. Scuola Norm. Sup. Pisa, 5, 381–404.
Hamel, G., 1916, Spiralförmige Bewegungen zäher Flüssigkeiten, Jber. Dtsch. Math. Ver. 25, 34–60; English Trans: NACA Tech. Memo. 1342, 1953.
Leray, J. 1933, Études de Diverses Équations Intégrales non Linéaires et de Quelques Problèmes que Pose l'Hydrodynamique, J. Math. Pures Appl., 12, 1–82.
Nirenberg, L., 1959, On Elliptic Partial Differential Equations, Ann. Scuola Norm, Pisa (3) 13, 115–162.
Oseen, L., 1927, Neuere Methoden und Ergebnisse in der Hydrodynamik, Leipzig, Akad. Verlagsgesellschaft M.B.H.
Simader, C. G. & Sohr, H., 1994, The Weak and Strong Dirichlet Problem for Δ in Lq in Bounded and Exterior Domains, Pitman Research Notes in Mathematics, in press.
Smith, D. R., 1965, Estimates at Infinity for Stationary Solutions of the Navier-Stokes Equations in Two Dimensions, Arch. Rational Mech. Anal. 20, 341–372.
Author information
Authors and Affiliations
Additional information
Communicated by R. Kohn
Rights and permissions
About this article
Cite this article
Galdi, G.P., Sohr, H. On the asymptotic structure of plane steady flow of a viscous fluid in exterior domains. Arch. Rational Mech. Anal. 131, 101–119 (1995). https://doi.org/10.1007/BF00386192
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00386192