Amplitude equations for isothermal double diffusive convection

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

Volumn 55, Issue 5, 1997, Pages 6270-6273

  Becerril, R ^a   Swift, J B ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011015215     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.6270     Document Type: Article

References (21)

1. H E. Huppert and D R. Moore, J. Fluid Mech.78, 821 (1976).
2. P H. Coullet and E A. Spiegel, SIAM J. Appl. Math.43, 776 (1983).
3. A E. Deane, E. Knobloch and J. Toomre, Phys. Rev. A36, 2862 (1987).
4. A E. Deane, E. Knobloch and J. Toomre, Phys. Rev. A37, 1817 (1988).
5. C S. Bretherton and E A. Spiegel, Phys. Lett.96A, 152 (1983).
6. H. Brand, P C. Hohenberg and V. Steinberg, Phys. Rev. A30, 2548 (1984).
7. R W. Walden, P. Kolodner, A. Passner and C M. Surko, Phys. Rev. Lett.55, 496 (1985).
8. G. Ahlers and I. Rehberg, Phys. Rev. Lett.56, 1373 (1986).
9. W. Schöpf and W. Zimmermann, Phys. Rev. E47, 1739 (1993).
10. H. Brand and V. Steinberg, Phys. Lett.93A, 333 (1983).
11. V. Steinberg and H. Brand, Phys. Rev. A30, 3366 (1984).
12. W. Schöpf and W. Zimmermann, Europhys. Lett.8, 41 (1989).
13. W. Barten, M. Lücke, M. Kamps and R. Schmitz, Phys. Rev. E51, 5662 (1995).
14. A A. Predtechensky, W D. McCormick, J B. Swift, Z. Noszticzius and H L. Swinney, Phys. Rev. Lett.72, 218 (1994).
15. A A. Predtechensky, W D. McCormick, J B. Swift, A G. Rossberg and H L. Swinney, Phys. Fluids6, 3923 (1994).
16. H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, England, 1932), p. 582.
17. M C. Cross and P C. Hohenberg, Rev. Mod. Phys.65, 851 (1993).
18. The effects of finite w/d and cross diffusion on linear properties have been discussed in Ref. 15. We neglect these effects here.
19. G. Dangelmayr and E. Knobloch, Philos. Trans. R. Soc. London. Ser. A322, 243 (1987).
20. J. Guckenheimer and P J. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Springer-Verlag, New York, 1983), Chap. 7.
21. E. Knobloch, in Proceedings of the 1985 Joint ASCE-ASME Mechanics Conference, edited by N. E. Bixler and E. A. Spiegel (ASME, New York, 1985), Vol. 24, p. 17.