Keywords
- Rayleigh Number
- Nonlinear Stability
- Critical Rayleigh Number
- Null Solution
- Solenoidal Vector
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References to Chapter VI
G.P. Galdi, Energy Methods and Symmetry in Stability of Viscous Flows, General Lecture at A.I.M.E.T.A. Meeting, Genoa, Italy (1982).
G.P. Galdi, Nonlinear Stability of the Magnetic Benard Problem via a Generalized Energy Method, Arch. Ratt Mech. Anal., in the Press
G.P. Galdi, Contributions to Nonlinear Stability of Hydromagnetic Couette Flow Between Rotating Cylinders, Proc. Symp. "Waves and Stability in Continua", Rende (Italy) (1983), to be published.
S. Rionero, Ref. [8] to Chapter V.
P.D. Lalas & S. Carmi, Phys. Fluids, 15 (1972) 212.
S. Chandrasekhar, Ref. [10] to Chapter I.
F. Busse, J. Fluid Mech., 71 (1) (1975) 193.
N. Rudraiah, Publ. Astron. Soc. Japan, 33 (1981) 721.
G. Iooss, Ref. [8] to Chapter II.
R. Adams, Ref. [9] to Chapter II.
M. Padula, Nonlinear Stability of Compressible Benard Problem, Proc. Symp. "Waves and Stability in Continua", Rende (Italy) (1983), to be published.
W. Unno, S. Kato, & M. Makita, Publ. Astr. Soc. Japan, 12 (1960) 193.
E.A. Spiegel, Astrophysical J., 3 (1965) 1068.
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Galdi, G.P., Rionero, S. (1985). Skew-symmetric operators and nonlinear stabilization: The hydromagnetic bénard problem. In: Weighted Energy Methods in Fluid Dynamics and Elasticity. Lecture Notes in Mathematics, vol 1134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075386
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DOI: https://doi.org/10.1007/BFb0075386
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