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On the stability of viscous fluid motions. (English) Zbl 0086.20001

Keywords:
fluid mechanics
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[1] Reynolds, O.: On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Phil. Trans. Roy. Soc. London (A) 186, 123-164 (1895); Scientific Papers II, pp. 535-577. · JFM 26.0872.02
[2] Orr, W. McF.: The stability or instability of the steady motions of a liquid. Part II: A viscous liquid. Proc. Roy. Irish Acad. (A) 27, 69-138 (1907). · JFM 38.0741.02
[3] Hamel, G.: Zum Turbulenzproblem. Nachr. Ges. Wiss. G?ttingen. 1911, 261-270. · JFM 42.0792.01
[4] Lord Rayleigh: On the motion of a viscous fluid. Phil. Mag. (6) 26, 776-786 (1913); Papers VI, pp. 187-197. · JFM 44.0843.01
[5] K?rm?n, Th. von: ?ber die Stabilit?t der Laminarstr?mung und die Theorie der Turbulenz. Proc. 1st. Int. Congress Appl. Mech. Delft, 1924, pp. 97-112.
[6] Synge, J. L.: Hydrodynamical stability. Semi-centennial publications of the Amer. Math. Soc. 2, 227-269 (1938). Especially Part III.
[7] Thomas, T. Y.: On the stability of viscous fluids. (1941). Univ. Calif. Publ. Math. New Series 2, 13-43 (1944).
[8] Thomas, T. Y.: On the uniform convergence of the solutions of the Navier-Stokes equations. Proc. Nat. Acad. Sci. U.S.A. 29, 243-246 (1943). · Zbl 0061.43808
[9] Hopf, E.: On non-linear partial differential equations. Lecture series of the Symposium on partial differential equations. Univ. of Calif. 1955, PP. 7-11.
[10] Leray, J.: Essai sur les mouvements plan d’un liquide visqueux que limitent des parois. J. Math. Pures. Appl. (9) 13, 331-418 (1934). · JFM 60.0727.01
[11] Kamp? de F?riet, J.: Sur la decroissance de l’?nergie cin?tique d’un fluide visqueux incompressible occupant un domaine born? ayant pour fronti?re des parois solides fixes. Ann. Soc. Sci. Bruxelles 63, 35-46 (1949).
[12] Berker, R.: In?galit? v?rifi?e par l’?nergie cin?tique d’un fluide visqueux incompressible occupant un domaine spatial born?. Bull. Tech. Univ. Istanbul 2, 41-50 (1949). · Zbl 0036.25801
[13] Synge, J. L.: On the stability of a viscous liquid between two rotating coaxial cylinders. Proc. Roy. Soc. London (A) 167, 250-256 (1938). · JFM 64.1449.05
[14] Lin, C. C.: The theory of hydrodynamic stability. Cambridge 1955. Especially Chaps. 1, 2, 4.
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