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Annali di Matematica Pura ed Applicata

, Volume 40, Issue 1, pp 261–267 | Cite as

On the stability of two superposed compressible fluids

  • H. H. Goldstine
  • J. Gillis
Article

Summary

The authors consider the case of two compressible, non-viscous fluids, one above the other, and investigate the stability of their equilibrium under the action of gravity. It is found that the equilibrium is stable if and only if the density of the upper fluid in the immediate vicinity of the interface is less than that of the lower.

Keywords

Compressible Fluid 
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References

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    S. Chandrasekhar,The character of the equilibrium of an incompressible heavy viscous fluid of variable density, « Proc. Camb. Phil. Soc. », 51 (1955), 162–178.zbMATHMathSciNetGoogle Scholar
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    R. Hide,The character of the equilibrium of an incompressible heavy viscous fluid of variable density in an approximate theory, « Proc. Camb. Phil. Soc. », 51 (1955), 179–201.zbMATHMathSciNetCrossRefGoogle Scholar
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    Cf.E. T. Whittaker andG. N. Watson,Modern Analysis, Cambridge (1940). p. 337.Google Scholar
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    Cf.Whittaker andWatson,op. cit., p. 343.Google Scholar
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    Cf.Lamb,op. cit., p. 371.Google Scholar

Copyright information

© Swets & Zeitlinger B. V. 1955

Authors and Affiliations

  • H. H. Goldstine
    • 1
  • J. Gillis
    • 1
  1. 1.Institute for Advanced StudyPrinceton

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