References
Shir, C. C., & D. D. Joseph, Convective instability in a temperature and concentration field. Arch. Rational. Mech. Anal. 30, 38 (1968).
Joseph, D. D., Uniqueness criteria for the conduction-diffusion solution of the Boussinesq equations. Arch. Rational Mech. Anal. 35, No. 3 (1969).
Joseph, D. D., “On the place of energy methods in a global theory of hydrodynamic stability,” lecture to the IUTAM Symposium on the stability of continuous systems, Herrenalb, Germany, Sept. 1969. The proceedings are to be published by Springer-Verlag.
Sani, R. L., Ph. D. thesis, Univ. Minn., Minneapolis (1963).
Veronis, G., On finite amplitude instability in thermohaline convection. J. Marine Res. 23, 1 (1965).
Nield, D. A., The thermohaline Rayleigh-Jeffreys problem. J. Fluid Mech. 29, 545 (1967).
Baines, P. G., & A. E. Gill, On thermohaline convection with linear gradients. J. Fluid Mech. 37, 289 (1969).
Sani, R., On finite amplitude roll cell disturbances in a fluid layer subjected to heat and mass transfer. A. I. Ch. E. Journal 11, 971 (1965).
Veronis, G., Effect of a stabilizing gradient of solute on thermal convection. J. Fluid Mech. 34, 315 (1968).
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Communicated by C. Truesdell
This work was supported in part by U.S. National Science Foundation grant GK-1838 and in part by a fellowship from the Guggenheim foundation and done while I was a guest at the Department of Mathematics, Imperial College, London. I acknowledge, with pleasure, useful discussions on aspects of this problem with Dr. F. Busse and Professor S. Goldberg.
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Joseph, D.D. Global stability of the conduction-diffusion solution. Arch. Rational Mech. Anal. 36, 285–292 (1970). https://doi.org/10.1007/BF00249516
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DOI: https://doi.org/10.1007/BF00249516