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Energy Equation and Necessary Conditions for Instability

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Waves in the Ocean and Atmosphere
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Abstract

To get a better feeling for where the source of the instability is, it is useful to develop an equation for the perturbation energy for waves in the presence of a mean flow that contains both horizontal and vertical shear. This entire subject is enormous, and we will only scratch the surface in our discussion. The text by Gill (1982) and Pedlosky (1987) contain ample discussion for further reading.

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References

  • Gill AE (1982) Atmosphere-ocean dynamics. Academic Press. Harcourt Brace & Co., San Diego, pp 662

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  • Heifetz E, Alpert P, Da Silva A (1998) On the parcel method and the baroclinic wedge of instability. J Atmos Sci 55:788–795

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  • Pedlosky J (1987) Geophysical fluid dynamics. Springer-Verlag, New York, pp 710 (especially Chapter 7)

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© 2003 Springer-Verlag Berlin Heidelberg

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Pedlosky, J. (2003). Energy Equation and Necessary Conditions for Instability. In: Waves in the Ocean and Atmosphere. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05131-3_20

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  • DOI: https://doi.org/10.1007/978-3-662-05131-3_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05564-5

  • Online ISBN: 978-3-662-05131-3

  • eBook Packages: Springer Book Archive

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