Literature cited
A. Pellew and R. V. Southwell, “On maintained convective motion in a fluid heated from below,∝ Proc.Roy. Soc., Ser. A,176, No. 966 (1940).
V. N. Gribov and L. É. Gurevich, “On the stability theory of a layer subjected to a superadiabatic temperature gradient in a gravity field,∝ Zh. Éksp. Teor. Fiz.,31, No. 5 (1956).
S. Musman, “Penetrative convection,∝ J. Fluid Mech.,31, No. 2 (1968).
A. J. Faller and R. Kaylor, “Numerical study of penetrative convective instabilities,∝ J. Geophys. Res.,75, No. 3 (1970).
R. M. Goody, “The influence of radiative transfer on cellular convection,∝ J. Fluid Mech.,1, No. 4 (1956).
E. M. Sparrow, R. J. Goldstein, and V. K. Jonsson, “Thermal instability in a horizontal fluid layer: effect of boundary conditions and nonlinear temperature profile,∝ J. Fluid Mech.,18, No. 4 (1964).
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford (1961).
R. J. Schmidt and O. A. Saunders, “On the motion of a fluid heated from below,∝ Proc. Roy. Soc. London, Ser. A,165, No. 921 (1938).
P. L. Silveston, “W→medurchgang in waagerechten Flüssigkeitsschichten,∝ Forsch. Geb. Ing. Wes.,24, Nos. 1, 2 (1958).
M. M. Chen and J. A. Whitehead, “Evolution of two-dimensional periodic Rayleigh convections cells of arbitrary wave numbers,∝ J. Fluid Mech.,31, No. 1 (1968).
G. B. Schubauer and H. K. Skramstad, “Laminar boundary-layer oscillations and stability of laminar flow,∝ J. Aeronaut. Sci.,14, No. 2 (1947).
H. Sato, “An experimental study of nonlinear interaction of velocity fluctuations in the transition region of a two-dimensional wake,∝ J. Fluid Mech.,44, No. 4 (1970).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 45–52, September–October, 1975.
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Getling, A.V. Convective motion concentration at the boundaries of a horizontal fluid layer with inhomogeneous unstable temperature gradient along the height. Fluid Dyn 10, 745–750 (1975). https://doi.org/10.1007/BF01015445
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DOI: https://doi.org/10.1007/BF01015445