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Part of the book series: Topics in Atmospheric and Oceanographic Sciences ((TATM))

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Abstract

In recent years there has been increasing interest in the possibility that there may be dynamically stable nonlinear structures, such as solitons or modons, embedded in the otherwise quasi-two dimensional turbulent flow characterizing the large-scale behavior of the atmosphere. This possibility has important implications for predictability and prediction. It has been suggested, for example, by McWilliams (1980) that dipole blocking structures in the atmosphere may be modons.

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References

  • Benney, D. J. (1966) Long nonlinear waves in fluid flows. J. Math. Phys. (Cambridge, Mass.), 45, 52–63.

    Google Scholar 

  • Flierl, G. R., Larichev, V. D., McWilliams, J. C. and Reznik, G. M. (1980) The dynamics of baroclinic and barotropic solitary eddies. Dyn.’Atmos. Oceans, 5, 1–41.

    Article  Google Scholar 

  • Grotjahn, R. and O’Brien, J. J. (1976) Some inaccuracies in finite differencing hyperbolic equations. Mon. Wea. Rev., 104, 180–194.

    Article  Google Scholar 

  • Larichev, V. D., and Reznik, G. M. (1976) A two-dimensional Rossby soliton-exact solution. In Rep. USSR Academy Sciences, 231 (5).

    Google Scholar 

  • Long, R. R. (1964) Solitary waves in the westerlies. J. Atmos. Sci. 21, 197–200.

    Article  Google Scholar 

  • Malanotte Rizzoli, P. (1980) Solitary Rossby waves over variable relief and their stability. Dyn. Atmos. Oceans, 4, 261–294.

    Google Scholar 

  • McWilliams, J. C. (1980) An application of equivalent modons to atmospheric blocking. Dyn. Atmos. Oceans, 5, 43–66.

    Article  Google Scholar 

  • McWilliams, J. C., Flierl, G. R., Larichev, V. D. and Reznik, G. M. (1981) Numerical studies of barotropic modons. Dyn. Atmos. Oceans, 5, 219–238.

    Article  Google Scholar 

  • Redekopp, L. G. (1977) On the theory of solitary Rossby waves. J. Fluid Mech., 82, 725–745.

    Article  Google Scholar 

  • Stern, M. E. (1975) Minimal properties of planetary eddies. J. Mar. Res. 33, 1–13.

    Google Scholar 

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© 1984 Springer-Verlag, Berlin Heidelberg

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Leith, C.E. (1984). Dynamically Stable Nonlinear Structures. In: Burridge, D.M., Källén, E. (eds) Problems and Prospects in Long and Medium Range Weather Forecasting. Topics in Atmospheric and Oceanographic Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82132-5_9

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  • DOI: https://doi.org/10.1007/978-3-642-82132-5_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12827-4

  • Online ISBN: 978-3-642-82132-5

  • eBook Packages: Springer Book Archive

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