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On stability conditions for the nonisothermic Couette flow. (English. Russian original) Zbl 0477.76048
J. Appl. Math. Mech. 44, 311-315 (1981); translation from Prikl. Mat. Mekh. 44, 441-447 (1980).

MSC:
76E15 Absolute and convective instability and stability in hydrodynamic stability
76D05 Navier-Stokes equations for incompressible viscous fluids
76Q05 Hydro- and aero-acoustics
76R99 Diffusion and convection
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[1] Landau, L.D.; Lifshits, E.M.; Landau, L.D.; Lifshits, E.M., Course of theoretical physics, (1980), Gostekhizdat Moscow, See also English translation · Zbl 0655.76001
[2] Iudovich, V.I., On stability of steady flows of a viscous incompressible fluid, Dokl. akad. nauk SSSR, Vol. 161, No. 5, (1965) · Zbl 0449.76029
[3] Iudovich, V.I., On stability of forced oscillations of a fluid, Dokl. akad. nauk SSSR, Vol. 195, No. 2, (1970)
[4] Iudovich, V.I., Secondary flows and fluid instability between rotating cylinders, Pmm, Vol. 30, No. 4, (1966)
[5] Krein, M.G., On nonsymmetric oscillatory Green’s functions of ordinary differential operators, Dokl. akad. nauk SSSR, Vol. 25, No. 8, (1939)
[6] Gantmakher, F.R.; Krein, M.G., Oscillatory matrices and kernels, and small oscillations of mechanical systems, (1950), Fizmatgiz Moscow-Leningrad
[7] Kolesov, V.V.; Ovchinnikov, S.N., Stability of fluid flow between heated rotating cylinders, (), No. 3
[8] Gershuni, G.Z.; Zhukhovitskii, E.M., Convective stability of incompressible fluid, (1972), Nauka Moscow · Zbl 0256.76025
[9] Krasnosel’skii, M.A., Positive solutions of operator equations, (1962), Fizmatgiz Moscow · Zbl 0121.10603
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