Nonlinear square patterns in Rayleigh-Bénard convection

Europhysics Letters

Volumn 53, Issue 2, 2001, Pages 202-208

  Demircan, A ^a   Seehafer, N ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035792974     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2001-00137-2     Document Type: Article

References (27)

1. CROSS M. C. and HOHENBERG P. C., Rev. Mod. Phys., 65 (1993) 851.
2. ASSENHEIMER M. and STEINBERG V., Phys. Rev. Lett., 76 (1996) 756.
3. CLEVER R. M. and BUSSE F. H., Phys. Rev. E, 53 (1996) R2037.
4. BUSSE F. H. and CLEVER R. M., Phys. Rev. Lett., 81 (1998) 341.
5. OLIVER D. S. and BOOKER J. R., Geophys. Astrophys. Fluid Dyn., 27 (1983) 73.
6. EDWARDS W. S. and FAUVE S., J. Fluid Mech., 178 (1994) 123.
7. ARBELL H. and FINEBERG J., Phys. Rev. Lett., 81 (1998) 4384.
8. PI H.-J., PARK S., LEE J., and LEE K. J., Phys. Rev. Lett., 84 (2000) 5316.
9. NITSCHKE K. and THESS A., Phys. Rev. E, 52 (1995) R5772.
10. BESTEHORN M., Phys. Rev. Lett., 76 (1996) 46.
11. SCHATZ M. F., VANHOOK S. J., MCCORMICK W. D., SWIFT J. B. and SWINNEY H. L., Phys. Fluids, 11 (1999) 2577.
12. BUSSE F. H. and CLEVER R. M., J. Fluid Mech., 91 (1979) 319.
13. SILBER M. and SKELDON A. C., Phys. Rev. E, 59 (1999) 5446.
14. ARBELL H. and FINEBERG J., Phys. Rev. Lett., 84 (2000) 654.
15. RIVIER N., J. Phys. Condens. Matter, 4 (1992) 931.
16. ONDARÇUHU T., MINDLIN G. B., MANCINI H. L. and PÉREZ-GARCÍA C., Phys. Rev. Lett., 70 (1993) 3892.
17. CANUTO C., HUSSAINI M. Y., QUARTERONI A. and ZANG T. A., Spectral Methods in Fluid Dynamics (Springer, Berlin) 1988.
18. PRESS W. H., FLANNERY B. P., TEUKOLSKY S. A. and VETTERLING W. T., Numerical Recipes, The Art of Scientific Computing, FORTRAN Version (Cambridge University Press, Cambridge) 1989.
19. SCHEEL S. and SEEHAFER N., Phys. Rev. E, 56 (1997) 5511.
20. HAIRER E., NØRSETT S. P. and WANNER G., Solving Ordinary Differential Equations I (Springer, Berlin) 1993.
21. DEMIRCAN A., SCHEEL S. and SEEHAFER N., Eur. Phys. J. B, 13 (2000) 765.
22. PROCTOR M. R. E. and MATTHEWS P. C., Physica D, 97 (1996) 229.
23. DAWES J. H. P., Physica D, 139 (2000) 109.
24. GOLUBITSKY M., STEWART I. and SCHAEFFER D. G., Singularities and Groups in Bifurcation Theory, Vol. II (Springer, New York) 1988.
25. SWIFT J. W., Nonlinearity, 1 (1988) 333.
26. KRMPOTIĆ D., MINDLIN G. B. and PÉREZ-GARCÍA C., Phys. Rev. E, 54 (1996) 3609.
27. ECKERT K., BESTEHORN M. and THESS A., J. Fluid Mech., 356 (1998) 155.