Steady solutions of the Navier-Stokes equations in unbounded channels and pipes
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 4 (1977) no. 3, pp. 473-513. 
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     author = {Amick, Charles J.},
     title = {Steady solutions of the {Navier-Stokes} equations in unbounded channels and pipes},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {473--513},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 4},
     number = {3},
     year = {1977},
     mrnumber = {510120},
     zbl = {0367.76027},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1977_4_4_3_473_0/}
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Amick, Charles J. Steady solutions of the Navier-Stokes equations in unbounded channels and pipes. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 4 (1977) no. 3, pp. 473-513. http://www.numdam.org/item/ASNSP_1977_4_4_3_473_0/

[1] J. Leray, Étude de diverses équations intégrales non linéares et de quelques problèmes que pose l'Hydrodynamique, J. Math. Pures Appl. (ser. 9), 12 (1933), pp. 1-82. | JFM | Numdam | Zbl

[2] O.A. Ladyzhenskaya, The mathematical theory of viscous incompressible flow, Gordon and Breach, London -New York, 1963. | MR | Zbl

[3] R. Finn, Stationary solutions of the Navier-Stokes equations, Amer. Math. Soc., Proc. Symposia Appl. Math., 17 (1965), pp. 121-153. | Zbl

[4] R. Finn, Mathematical questions relating to viscous fluid flow in an exterior domain, Rocky Mountain Journal of Math., 3, no. 1 (1973), pp. 107-140. | MR | Zbl

[5] L.E. Fraenkel, On a theory of laminar flow in channels of a certain class, Proc. Camb. Phil. Soc., 73 (1973), pp. 361-390. | MR | Zbl

[6] L.E. Fraenkel - P.M. Eagles, On a theory of laminar flow in channels of a certain class II, Math. Proc. Camb. Phil. Soc., 77 (1975), pp. 199-224. | MR

[7] O.A. Ladyzhenskaya, Stationary motion of a viscous incompressible fluid in a pipe, Dokl. Akad. Nauk. SSSR, 124 (1959), pp. 551-553. | MR | Zbl

[8] L.E. Fraenkel, Boundary-value problems for the steady Navier-Stokes equations, Zeitschr. Angew. Math. Mech. (to appear in the issue reporting the 1975 Jahrestagung of the Gesellscheft Angew. Math. Mech.). | MR | Zbl

[9] S.L. Sobolev, Applications of functional analysis in mathematical physics, Amer. Math. Soc., Providence, Rhode Island, 1963. | MR | Zbl

[10] G.H. Hardy - J.E. Littlewood - G. Polya, Inequalities, Cambridge University Press, London-New York, 1952. | MR | Zbl

[11] F. Treves, Basic linear partial differential equations, Academic Press, New York, 1975. | MR | Zbl

[12] J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéares, Dunod, Paris, 1969. | MR | Zbl

[13] J. Heywood, On uniqueness questions in the theory of viscous flow, Acta Math. 136 (1976), pp. 61-102. | MR | Zbl

[14] H. Fujita, On the existence and regularity of the steady-state solutions of the Navier-Stokes equations, J. Fac. Sci. Univ. Tokyo Sect. I, 9 (1961), pp. 59-102. | MR | Zbl

[15] R. Finn, On the steady-state solutions of the Navier-Stokes equations, III, Acta Math., 105 (1961), pp. 197-244. | MR | Zbl

[16] L.E. Fraenkel, Lectures on fixed-point theorems and their application, Univ. of Cambridge (1973).

[17] J. Serrin, On the stability of viscous fluid motions, Arch. Rat. Mech. Anal. 3 (1959), pp. 1-13. | MR | Zbl

[18] A. Friedman, Partial differential equations, Holt, Rinehart and Winston, New York, 1969. | MR | Zbl

[19] L. Nirenberg, On elliptic partial differential equations, Ann. Scuola Norm. Sup. Pisa, 13 (1959), pp. 115-162. | Numdam | MR | Zbl