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On the Possibility of Subcritical Instabilities

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Instability of Continuous Systems

Abstract

Let us consider a steady solution of the hydrodynamic equations governing an incompressible, Newtonian fluid. We examine the asymptotic stability of this state by superposing small disturbances and obtaining a set of partial differential equations which govern the behavior of a disturbance (also called the difference motion).

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References

  1. Segel, L. A.: Non-equilibrium Thermodynamics, Variational Techniques and Stability, eds. R.J.Donnelly et al., Chicago: Univ. of Chicago Press 1966, Chapter 10.

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© 1971 Springer-Verlag, Berlin/Heidelberg

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Davis, S.H. (1971). On the Possibility of Subcritical Instabilities. In: Leipholz, H. (eds) Instability of Continuous Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65073-4_31

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  • DOI: https://doi.org/10.1007/978-3-642-65073-4_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65075-8

  • Online ISBN: 978-3-642-65073-4

  • eBook Packages: Springer Book Archive

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