One-dimensional pattern formation with Galilean invariance near a stationary bifurcation

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

Volumn 62, Issue 2, 2000, Pages R1473-R1476

  Matthews, P C ^a   Cox, S M ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; COMPUTER SIMULATION; LINEARIZATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

AMPLITUDE EQUATIONS; GALILEAN INVARIANCE; GINZBURG-LANDAU EQUATIONS; PATTERN FORMATION;

CHAOS THEORY;

EID: 0034238698     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.R1473     Document Type: Article

References (17)

1. Y. Kuramoto and T. Tsuzuki, Prog. Theor. Phys. 55, 356 (1976).
2. G. I. Sivashinsky, Acta Astron. 4, 1177 (1977).
3. P. C. Matthews and S. M. Cox, Nonlinearity 13, 1293 (2000).
4. I. A. Beresnov and V. N. Nikolaevskiy, Physica D 66, 1 (1993).
5. P. Coullet and S. Fauve, Phys. Rev. Lett. 55, 2857 (1985).
6. B. A. Malomed, Phys. Rev. A 45, 1009 (1992).
7. M. I. Tribelskii, Usp. Fiz. Nauk 167, 167 (1997) [ [Sov. Phys. Usp. 40, 159 (1997))].
8. M. I. Tribelsky and K. Tsuboi, Phys. Rev. Lett. 76, 1631 (1996).
9. M. I. Tribelsky and M. G. Velarde, Phys. Rev. E 54, 4973 (1996).
10. I. L. Kliakhandler and B. A. Malomed, Phys. Lett. A 231, 191 (1997).
11. A. C. Newell and J. A. Whitehead, J. Fluid Mech. 38, 279 (1969).
12. L. A. Segel, J. Fluid Mech. 38, 203 (1969).
13. I. Melbourne, Trans. Am. Math. Soc. 351, 1575 (1999).
14. W. Eckhaus, Studies in Non-linear Stability Theory (Springer, New York, 1965).
15. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
16. P. Barthelet and F. Charru, Eur. J. Mech. B/Fluids 17, 1 (1998).
17. M. Renardy and Y. Renardy, Phys. Fluids A 5, 2738 (1993).