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  Far East Journal of Mathematical Sciences (FJMS)  
 ISSN: 0972-0871
 
 
 

     Far East Journal of Mathematical Sciences (FJMS)
    Volume 33, Issue 1, Pages 125 - 134 (April 2009)


PARAMETRIC INSTABILITY OF GENERALIZED PHILLIPS’ MODEL

Zhou Lei (P. R. China) and Cai Jingjing (P. R. China)

Received December 3, 2008

References:



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[2] S. Davis, The stability of time-periodic flows, Annu. Rev. Fluid Mech. 8 (1976), 57-74.

[3] S. Davis, A. J. Majda and M. G. Shefter, Elementary stratified flows with instability at large Richardrson number, J. Fluid. Mech. 376 (1998), 319-350.

[4] B. F. Farrell and P. J. Ioannou, Perturbation growth and structure in time-dependent flows, J. Atmos. Sci. 56 (1999), 3622-3639.

[5] Y. Li, Baroclinic instability in the generalized Phillips’ model. Part II: Three-layer model, Adv. Atmos. Sci. 17(3) (2000), 413-432.

[6] Y. Li and M. Mu, Baroclinic instability in the generalized Phillips’ model. Part I: Two-layer model, Adv. Atmos. Sci. 13(1) (1996), 33-42.

[7] P. M. Morse and H. Feshbach, Methods of Theoretical Physics. Part I, McGraw-Hill, 1953.

[8] M. J. Olascoaga and P. Ripa, Baroclinic instability in a two-layer model with a free boundary and b effect, J. Geophys. Res. 104 (1999), 23357-23366.

[9] J. Pedlosky, Geophysical Fluid Dynamics, 2nd ed., Springer, New York, 1987.

[10] J. Pedlosky and J. Thomson, Baroclinic instability of time-dependent of currents, J. Fluid. Mech. 490 (2003), 189-215.

Keywords and phrases: Phillips’ model, instability, quasi-geostrophic flow.

 


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