Pattern formation near an oscillatory instability for systems without "up-down" symmetry

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 231, Issue 3-4, 1997, Pages 179-184

  Brand, Helmut R ^a,b   Deissler, Robert J ^a  

^a CENTER FOR NONLINEAR STUDIES   (United States)

^b UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES;

BINARY FLUID MIXTURES; NON-BOUSSINESQ CONVECTION; NUMERICAL INVESTIGATIONS; ORDER-PARAMETER EQUATIONS; OSCILLATORY INSTABILITY; PATTERN FORMATION; SPACE AND TIME;

BOUNDARY CONDITIONS;

EID: 0040151347     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00306-X     Document Type: Article

References (31)

1. P.E. Cladis and P. Palffy-Muhoray, eds., Spatio-Temporal Patterns in Nonequilibrium Complex Systems (Addison-Wesley, Reading, MA, 1994).
2. F.H. Busse, J. Fluid Mech. 30 (1967) 625.
3. M. Dubois, P. Bergé and J.E. Wesfreid, J. Phys. (Paris) 39 (1978) 1253; G. Ahlers, J. Fluid Mech. 98 (1978) 137.
4. M. Dubois, P. Bergé and J.E. Wesfreid, J. Phys. (Paris) 39 (1978) 1253; G. Ahlers, J. Fluid Mech. 98 (1978) 137.
5. P. Cerisier, C. Perez-Garcia, C. Jamond and J. Pantaloni, Phys. Rev. A 35 (1987) 1949.
6. J. Salan and E. Guyon, J. Fluid Mech. 126 (1983) 13.
7. G. Ahlers, L. Berge and D.S. Cannell, Phys. Rev. Lett. 70 (1993) 2399.
8. M.D. Cowley and R.E. Rosensweig, J. Fluid Mech. 30 (1967) 671.
9. C.G. Lange and A.C. Newell, J. Appl. Mech. 40 (1973) 575.
10. S.O. Brush and B.O. Almroth, Buckling of Plates, Bars and Shells (McGraw Hill, New York, 1975).
11. P. Leiderer, W. Ebner and V.B. Shikin, Surf. Sci. 113 (1982) 405.
12. A.C. Newell, J. Atmos. Sci. 29 (1972) 64.
13. H.R. Brand, Prog. Theor. Phys. Suppl. 99 (1989) 442.
14. I. Rehberg and G. Ahlers, Phys. Rev. Lett. 55 (1985) 500.
15. I. Rehberg, S. Rasenat, M. de la Torre, W. Schöpf, F. Hörner, G. Ahlers and H.R. Brand, Phys. Rev. Lett. 67 (1991) 596.
16. E. Guyon, P. Pieranski and J. Salan, J. Fluid Mech. 93 (1979) 65.
17. J. Swift and P.C. Hohenberg, Phys. Rev. A 15 (1977) 319.
18. M.C. Cross and A.C. Newell, Physica D 10 (1984) 299.
19. M. Bestehorn and H. Haken, Phys. Rev. A 42 (1990) 7195.
20. H. Xi, J.D. Gunton and J. Vinals, Phys. Rev. E 47 (1993) R2987.
21. A.C. Newell and J.A. Whitehead, J. Fluid Mech. 38 (1969) 269; L.A. Segel, J. Fluid Mech. 38 (1969) 203.
22. A.C. Newell and J.A. Whitehead, J. Fluid Mech. 38 (1969) 269; L.A. Segel, J. Fluid Mech. 38 (1969) 203.
23. H.R. Brand, P.S. Lomdahl and A.C. Newell, Physica D 23 (1986) 345; Phys. Lett. A 118 (1986) 67.
24. H.R. Brand, P.S. Lomdahl and A.C. Newell, Physica D 23 (1986) 345; Phys. Lett. A 118 (1986) 67.
25. M. Renardy, Adv. Diff. Equations 1 (1996) 283.
26. M. Roberts, J.W. Swift and D.H. Wagner, in: Multiparameter Bifurcation Theory, M. Golubitsky and J.M. Guckenheimer, eds., AMS Series in Contemporary Mathematics, Vol. 56 (1986) p. 283ff.
27. R.J. Deissler, J. Stat. Phys. 40 (1985) 371; Physica D 25 (1987) 233.
28. R.J. Deissler, J. Stat. Phys. 40 (1985) 371; Physica D 25 (1987) 233.
29. R.J. Deissler, J. Stat. Phys. 54 (1989) 1459.
30. P. Kolodner, Phys. Rev. A 42 (1990) 7204.
31. A. LaPorta and C.M. Surko, Phys. Rev. Lett. 77 (1996) 2678.