The effect of meridional and vertical shear on the interaction of equatorial baroclinic and barotropic Rossby waves

Studies in Applied Mathematics

Volumn 112, Issue 4, 2004, Pages 341-390

  Biello, Joseph A ^a   Majda, Andrew J ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; MECHANICAL WAVES; SHEAR FLOW; SOLITONS;

ANTI-SYMMETRIC; ASYMPTOTIC EQUATION; BAROCLINIC; BAROTROPIC; MEAN SHEAR; MODE EQUATION; NONLINEAR INTERACTIONS; ROSSBY WAVE; SYMMETRICS; VERTICAL SHEAR;

NONLINEAR EQUATIONS;

EID: 2442555009     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0022-2526.2004.01518.x     Document Type: Article

References (21)

1. A. MAJDA and J. A. BIELLO, The nonlinear interaction of barotropic and equatorial baroclinic rossby waves, J. Atmos. Sci 60:1809-1821 (2003).
2. P. J. WEBSTER, Response of the tropical atmosphere to local steady forcing, Mon. Weather Rev. 100:518-541 (1972).
3. P. J. WEBSTER, Mechanisms determining the atmosphere response to sea surface temperature anomalies, J. Atmos. Sci. 38:554-571 (1981).
4. P. J. WEBSTER, Seasonality in the local and remote atmospheric response to sea surface temperature anomalies, J. Atmos. Sci. 39:41-52 (1982).
5. A. KASAHARA and P. L. SILVA DIAS, Response of planetary waves to stationary tropical heating in a global atmosphere with meridional and vertical shear, J. Atmos. Sci., 43:1893-1911 (1986).
6. B. J. HOSKINS and F.-F. JIN, The initial value problem for tropical perturbations to a baroclinic atmosphere, Quart J. Roy. Meteor. Soc. 117: 299-317 (1991).
7. B. WANG and X. XIE, Low frequency equatorial waves in vertically sheared zonal flow: 1. Stable Waves, J. Atmos. Sci. 53:449-467 (1996).
8. H. LIM and C. P. CHANG, A theory for midlatitude forcing of tropical motions during winter monsoons, J. Atmos. Sci. 38:2377-2392 (1981).
9. H. LIM and C. P. CHANG, Generation of internal mode and external mode motions from internal heating: Effects of vertical shear and damping, J. Atmos. Sci. 43:948-957 (1986).
10. B. J. HOSKINS and G.-Y. YANG, The equatorial response to higher latitude forcing, J. Atmos. Sci. 57:1197-1213 (2000).
11. J.W.-B. LIN, J. D. NEELIN and N. ZENG, Maintenance of tropical intraseasonal variability: Impact of evaporation-wind feedback and midlatitude storms, J. Atmos Sci. 57:2793-2823 (2000).
12. H. MITSUDERA, Eady solitary waves: A theory of type B cyclogenesis, J. Atmos. Sci. 51:3137-3153 (1994).
13. G. GOTTWALD and R. GRIMSHAW, The formation of coherent structures in the context of blocking, J. Atmos. Sci. 56:3640-3662 (1999).
14. J. D. NEELIN and N. ZENG, A quasi-equilibrium tropical circulation model - Formulation, J. Atmos. Sci. 57:1741-1766 (2000).
15. A. MAJDA and M. SHEFTER, Models for stratiform instability and convectively coupled waves, J. Atmos. Sci. 58:1567-1584 (2001).
16. W. A. HECKLEY and A. E. GILL, Some simple analytical solutions to the problem of forced equatorial long waves, Q. J. R. Meteor. Soc. 110:203-217 (1984).
17. A. MAJDA, Introduction to PDE's and Waves for the Atmosphere and Ocean, p. 234, American Mathematical Society, RI, 2003.
18. J. P. BOYD, Equatorial solitary waves. Part I: Rossby solitons, J. Phys. Oceanogr. 10:1699-1717 (1980).
19. A. PATOINE and T. WARN, The interaction of long quasi-stationary waves with topography, J. Atmos. Sci. 39:1018-1025 (1981).
20. A. MAJDA and R. KLEIN, Systematic multiscale models for the tropics, J. Atmos. Sci. 60:393-408 (2003).
21. J. A. BIELLO and A. MAJDA, 2003: The effect of boundary layer dissipation and radiative damping on equatorial baroclinic and barotropic Rossby waves, Geophys Astrophys Fluid Dyn., in press.