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Stationary, quasi- geostrophic waves of finite amplitude

Stationäre quasigeostrophische Wellen begrenzter Amplitude

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Summary

We consider the dynamics of finite amplitude long waves in a quasi-geostrophic atmosphere. It is shown that they satisfy the well known theorems, formulated by Charney and Drazin, for vertical reflection and coupling with zonal flow. It is further shown that the typical critical level effect holds for such waves as well.

Zusammenfassung

Wir betrachten die Dynamik langer Wellen mit begrenzter Amplitude in einer quasigeostrophischen Atmosphäre. Es wird gezeigt, daß sie den von Charney und Drazin formulierten Theoremen für vertikale Reflexion und Verbindung mit der zonalen Strömung genügen. Es wird ferner gezeigt, daß der typische Effekt des kritischen Niveaus auch für solche Wellen gilt.

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Reference

  1. Charney, J. G.: J. Met.4, 135 (1947).

    Google Scholar 

  2. Charney, J. G., Stern, M. E.: J. Atmos. Sci.19, 159 (1962).

    Article  Google Scholar 

  3. Charney, J. G., Drazin, P. G.: J. Geoph. Res.66, 83 (1961).

    Google Scholar 

  4. Lindzen, R. S.: Mon. Weath. Rev.95, 441 (1967).

    Google Scholar 

  5. Dickinson, R. E.: Mon. Weath. Rev.96, 405 (1968).

    Google Scholar 

  6. Dickinson, R. E.: J. Atmos. Sci.26, 73 (1969).

    Article  Google Scholar 

  7. Charney, J. G.: Dynamical Meteorology. Boston: 1973.

  8. Thompson, R.: J. Met.5, 166 (1948).

    Google Scholar 

  9. Booker, J. R., Bretherton, F. P.: J. Fluid Mech.27, 513 (1966).

    Google Scholar 

  10. Benney, D. J., Bergeron, R. F.: Stud. appl. Math.48, 181 (1969).

    Google Scholar 

  11. Lupini, R., Pellacani, C.: Il Nuovo Cim. B29, 39 (1975).

    Google Scholar 

  12. Maslowe, S. A.: Stud. appl. Math.51, 1 (1973).

    Google Scholar 

  13. Abramovitz, M., Stegun, I. A.: Handbook of Mathematical Functions. New York: 1965.

  14. Matsuno, T.: J. Atmos. Sci.28, 1479 (1971).

    Article  Google Scholar 

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Pellacani, C., Speranza, A. Stationary, quasi- geostrophic waves of finite amplitude. Arch. Met. Geoph. Biocl. A. 32, 389–397 (1983). https://doi.org/10.1007/BF02266977

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  • DOI: https://doi.org/10.1007/BF02266977

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