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A generalized Charney-Stern theorem for semi-geostrophic dynamics Cover

A generalized Charney-Stern theorem for semi-geostrophic dynamics

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Open Access
|Jan 1995

References

  1. Andrews , D. G . 1983 . A finite-amplitude Eliassen-Palm theorem in isentropic coordinates. J . Atmos. Sc i . 40 , 1877 1883 .
  2. Arnol’d, V.I . 1966 . On an a priori estimate in the theory of hydrodynamical stability. lzv. Vyssh. Uchebn. Zaved. Matematika 54, no. 5, 3-5. [English transl.: Amer. Math. Soc.Transl., Series 2 , 79 , 267 269 ( 1969 ).
  3. Blumsack , S. and Gierasch , P. J . 1972 . Mars: the effect of topography on baroclinic instability. J. Atmos. Sc i . 29 , 1081 1089 .
  4. Charney , J. G. and Stern , M. E . 1962 . On the stability of internal baroclinic jets in a rotating atmosphere. J. Atmos. Sc i . 19 , 159 172 .
  5. Craig , G. C . 1993 . A scaling for the three-dimensional semigeostrophic approximation. J. Atmos. Sc i . 50 , 3350 3355 .
  6. Eliassen , A . 1948 . The quasi-static equations of motion. Geofys. Publ . 17, no. 3.
  7. Eliassen , A . 1983 . The Charney—Stern theorem on barotropic-baroclinic instability . Pure Appl. Geophys . 121 , 563 572 .
  8. Flagg , C. N. and Beardsley , R. C . 1978 . On the stability of the shelf water/slope water front south of New England . J. Geophys. Res . 83 ( C ), 4623-4631 .
  9. Hoskins , B. J . 1975 . The geostrophic momentum approximation and the semi-geostrophic equations. J. Atmos. Sc i . 32 , 233 242 .
  10. Hoskins , B. J. and Bretherton , F. P . 1972 . Atmospheric frontogenesis models: mathematical formulation and solution. J. Atmos. Sc i . 29 , 11 37 .
  11. Hoskins , B. J. , McIntyre , M. E. and Robertson , A. W . 1985 . On the use and significance of isentropic potential-vorticity maps . Quart. J. Roy. Meteor. Soc . 111 , 877 946 .
  12. Kushner , P. J. and Shepherd , T. G . 1995a . Wave-activity conservation laws and stability theorems for semi-geostrophic dynamics. Part 1. Pseudomomentum-based theory . J. Fluid Mech . 290 , 67 104 .
  13. Kushner , P. J. and Shepherd , T. G . 1995b . Wave-activity conservation laws and stability theorems for semi-geostrophic dynamics. Part 2. Pseudoenergy-based theory . J. Fluid Mech . 290 , 105 129 .
  14. Lorenz , E. N . 1955 . Available potential energy and the maintenance of the general circulation . Tellus 7 , 157 167 .
  15. Magnusdottir , G. and Schubert , W. H . 1990 . The generalization of semigeostrophic theory to the/1-plane. J. Atmos. Sc i . 47 , 1714 1720 .
  16. Mechoso , C. R. and Sinton , D. M . 1981 . Instability of baroclinic flows with horizontal shear along topography . J. Phys. Oceanogr . 11 , 813 821 .
  17. Schubert , W. H. and Magnusdottir , G . 1994 . Vorticity coordinates, transformed primitive equations and a canonical form for balance models. J. Atmos. Sc i . 51 , 3309 3319 .
  18. White , A. A . 1977 . Modified quasi-geostrophic equations using geometric height as vertical coordinate . Quart. J. Roy. Meteor. Soc . 103 , 383 396 .
Language: English
Page range: 541 - 547
Submitted on: Aug 29, 1994
Accepted on: Dec 7, 1994
Published on: Jan 1, 1995
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1995 Paul J. Kushner, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.