Critical exponents of Nikolaevskii turbulence

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 2, 2005, Pages

  Tanaka, Dan ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CHIRAL; DEFECT STRUCTURES; SPLAY; SUSPENDED FILMS;

CRYSTAL DEFECTS; CRYSTAL ORIENTATION; DISTORTION (WAVES); ELASTICITY; IONS; LAPLACE TRANSFORMS; LIGHT POLARIZATION; MATHEMATICAL MODELS; SUSPENSIONS (FLUIDS); THIN FILMS; VISCOSITY OF LIQUIDS;

SMECTIC LIQUID CRYSTALS;

EID: 41349118950     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.025203     Document Type: Review

References (21)

1. A. M. Turing, Philos. Trans. R. Soc. London, Ser. B 237, 37 (1952).
2. V. Castets, E. Dulos, J. Boissonade, and P. De Kepper, Phys. Rev. Lett. 64, 2953 (1990).
3. Q. Ouyang and H. L. Swinney, Chaos 1, 411 (1991).
4. See, e.g., N. Suzuki, M. Hirata, and S. Kondo, Proc. Natl. Acad. Sci. U.S.A. 100, 9680 (2003).
5. D. Tanaka and Y. Kuramoto, Phys. Rev. E 68, 026219 (2003).
6. D. Tanaka, Phys. Rev. E 70, 015202(R) (2004).
7. V. N. Nikolaevskii, in Recent Advances in Engineering Science, edited by S. L. Koh and C. G. Speciale, Lecture Notes in Engineering Vol. 39 (Springer, Berlin, 1989), p. 210.
8. M. I. Tribelsky and M. G. Velarde, Phys. Rev. E 54, 4973 (1996).
9. M. I. Tribelsky and K. Tsuboi, Phys. Rev. Lett. 76, 1631 (1996).
10. S. Kai, K. Hayashi, and Y. Hidaka, J. Phys. Chem. 100, 19007 (1996).
11. H.-W. Xi, X.-J. Li, and J. D. Gunton, Phys. Rev. Lett. 78, 1046 (1997).
12. H.-W. Xi, R. Toral, J. D. Gunton, and M. I. Tribelsky, Phys. Rev. E 62, R17 (2000).
13. Y. Kuramoto, Chemical Oscillation, Waves, and Turbulence (Springer, New York, 1984); Chemical Oscillation, Waves, and Turbulence (Dover, New York, 2003).
14. Y. Kuramoto, Chemical Oscillation, Waves, and Turbulence (Springer, New York, 1984); Chemical Oscillation, Waves, and Turbulence (Dover, New York, 2003).
15. R. Toral, G. Xiong, J. D. Gunton, and H. Xi, J. Phys. A 36, 1323 (2003).
16. P. C. Matthews and S. M. Cox, Phys. Rev. E 62, R1473 (2000).
17. H. Fujisaka, T. Honkawa, and T. Yamada, Prog. Theor. Phys. 109, 911 (2003).
18. I. L. Kliakhandler and B. A. Malomed, Phys. Lett. A 231, 191 (1997).
19. S. Toh, J. Phys. Soc. Jpn. 56, 949 (1987).
20. 2.
21. 2β.