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Spatio-Temporal Instabilities in Closed and Open Flows

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Book cover Instabilities and Nonequilibrium Structures

Part of the book series: Mathematics and Its Applications ((MAIA,volume 33))

Abstract

A review is given of the general theory describing the linear evolution of spatio-temporal instability waves in fluid media. According to the character of the impulse response, one can distinguish between absolutely unstable (closed) flows and convectively unstable (open) flows. These notions are then applied to several evolution models of interest in weakly nonlinear stability theory. It is argued that absolutely unstable flows, convectively unstable flows and mixed flows exhibit a very different sensitivity to external perturbations. Implications of these concepts to frequency selection mechanisms in mixed flows and the onset of chaos in convectively unstable flows are also discussed.

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Author information

Authors and Affiliations

  1. Department of Aerospace Engineering, University of Southern California, Los Angeles, California, 90089-0192, USA

    P. Huerre

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  1. P. Huerre
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Editor information

Editors and Affiliations

  1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile

    Enrique Tirapegui

  2. Departamento de Física, Facultad de Ciencias, Universidad Técnica Federico Santa María, Valparaíso, Chile

    Danilo Villarroel

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© 1987 D. Reidel Publishing Company

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Huerre, P. (1987). Spatio-Temporal Instabilities in Closed and Open Flows. In: Tirapegui, E., Villarroel, D. (eds) Instabilities and Nonequilibrium Structures. Mathematics and Its Applications, vol 33. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3783-3_7

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  • DOI: https://doi.org/10.1007/978-94-009-3783-3_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8183-2

  • Online ISBN: 978-94-009-3783-3

  • eBook Packages: Springer Book Archive

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