Thermal Rossby waves in a rotating annulus. Their stability

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 5, 2001, Pages

  Pino, D ^a   Net, M ^a   Sanchez J ^a   Mercader, I ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); EIGENVALUES AND EIGENFUNCTIONS; FLUID DYNAMICS; LIQUID WAVES; PRANDTL NUMBER; SYSTEM STABILITY;

THERMAL ROSSBY WAVES;

HEAT CONVECTION;

EID: 0035334072     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.056312     Document Type: Article

References (29)

1. F.H. Busse, Chaos 4, 123 (1994).
2. M. Ardes, F.H. Busse, and J. Wicht, Phys. Earth Planet. Inter. 99, 55 (1997).
3. F.H. Busse, J. Fluid Mech. 44, 441 (1970).
4. K. Zhang, J. Fluid Mech. 236, 535 (1992).
5. K. Zhang and F.H. Busse, Geophys. Astrophys. Fluid Dyn. 39, 119 (1987).
6. K. Zhang, J. Fluid Mech. 268, 211 (1994).
7. A. Tilgner, M. Ardes, and F.H. Busse, Acta Astron. XIX, 337 (1997).
8. F.H. Busse and A.C. Or, J. Fluid Mech. 166, 173 (1986).
9. A.C. Or and F.H. Busse, J. Fluid Mech. 174, 313 (1987).
10. M. Schnaubelt and F.H. Busse, J. Fluid Mech. 245, 155 (1992).
11. N.H. Brummell and J.E. Hart, Geophys. Astrophys. Fluid. Dyn. 68, 85 (1993).
12. D. Pino, I. Mercader, and M. Net, Phys. Rev. E 61(2), 1507 (2000).
13. A. Tilgner and F.H. Busse, J. Fluid Mech. 332, 359 (1997).
14. A.M. Soward, Geophys. Astrophys. Fluid Dyn. 9, 19 (1977).
15. A. Alonso, M. Net, and E. Knobloch, Phys. Fluids 7, 935 (1995).
16. A. Alonso, M. Net, I. Mercader, and E. Knobloch, Fluid Dyn. Res. 24, 133 (1998)
17. A. Alonso, J. Sánchez, and M. Net, Prog. Theor. Phys. Suppl. 139, 315 (2000).
18. F. Marques, Phys. Fluids A 2(5), 729 (1990).
19. J. Herrmann and F.H. Busse, Phys. Fluids 10, 1611 (1998).
20. I. Soibelman and D.I. Meiron, J. Fluid Mech. 229, 389 (1991).
21. A. Drissi, M. Net, and I. Mercader, Phys. Rev. E 60, 1781 (1999).
22. J. Sánchez and J. Antonijoan, in Continuation Methods in Fluid Dynamics, edited by D. Henry and A. Bergeon (Vieweg, Wiesbaden, 2000), Vol. 74, p. 203.
23. M. Golubitsky, I. Stewart, and D.G. Shaeffer, Singularities and Groups in Bifurcation Theory (Springer-Verlag, New York, 1985), Vol. 2.
24. E. Knobloch, Phys. Fluids 8 (6), 1446 (1996).
25. I. Mercader, J. Prat, and E. Knobloch, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 27 (2001).
26. D. Pino, I. Mercader, and M. Net, in Theory and Tests of Convection in Stellar Structure, edited by A. Giménez, E.F. Guinan, and B. Montesinos (Astronomical Society of the Pacific Conference Series, San Francisco, 1999), Vol. 173, p. 197.
27. A.C. Or, J. Fluid Mech. 216, 613 (1990).
28. A.C. Or and J. Herrmann, Phys. Fluids 7(2), 315 (1995).
29. J. Herrmann and F.H. Busse, J. Fluid Mech. 350, 209 (1997).