Skip to main content
Log in

Global stability of the conduction-diffusion solution

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Shir, C. C., & D. D. Joseph, Convective instability in a temperature and concentration field. Arch. Rational. Mech. Anal. 30, 38 (1968).

    Google Scholar 

  2. Joseph, D. D., Uniqueness criteria for the conduction-diffusion solution of the Boussinesq equations. Arch. Rational Mech. Anal. 35, No. 3 (1969).

    Google Scholar 

  3. 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.

  4. Sani, R. L., Ph. D. thesis, Univ. Minn., Minneapolis (1963).

    Google Scholar 

  5. Veronis, G., On finite amplitude instability in thermohaline convection. J. Marine Res. 23, 1 (1965).

    Google Scholar 

  6. Nield, D. A., The thermohaline Rayleigh-Jeffreys problem. J. Fluid Mech. 29, 545 (1967).

    Google Scholar 

  7. Baines, P. G., & A. E. Gill, On thermohaline convection with linear gradients. J. Fluid Mech. 37, 289 (1969).

    Google Scholar 

  8. 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).

    Google Scholar 

  9. Veronis, G., Effect of a stabilizing gradient of solute on thermal convection. J. Fluid Mech. 34, 315 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

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.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Joseph, D.D. Global stability of the conduction-diffusion solution. Arch. Rational Mech. Anal. 36, 285–292 (1970). https://doi.org/10.1007/BF00249516

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00249516

Keywords

Navigation