Asymptotic solutions of stationary patterns in convection-reaction-diffusion systems

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

Volumn 68, Issue 3 2, 2003, Pages 362071-3620710

  Nekhamkina, Olga ^a   Sheintuch, Moshe ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; DIFFUSION; HEAT CONVECTION; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; SYSTEM STABILITY;

STATIONARY PATTERNS;

REACTION KINETICS;

EID: 0242579499     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. A.M. Turing, Philos. Trans. R. Soc. London, Ser. A 237, 37 (1952).
2. A.B. Rovinsky and M. Menzinger, Phys. Rev. Lett. 69, 1193 (1992).
3. V.Z. Yakhnin, A.B. Rovinsky, and M. Menzinger, Chem. Eng. Sci. 49, 3257 (1994).
4. M. Sheintuch and S. Shvartsman, Chem. Eng. Sci. 49, 5315 (1994).
5. S.P. Kuznetsov, E. Mosekilde, G. Dewel, and P. Borckmans, J. Chem. Phys. 106, 7609 (1997).
6. O.A. Nekhamkina, A. A Nepomnyashchy, B.Y. Rubinstein, and M. Sheintuch, Phys. Rev. E 61, 2436 (2000).
7. O.A. Nekhamkina, B.Y. Rubinstein, and M. Sheintuch, AIChE J. 46, 1632 (2000).
8. O.A. Nekhamkina, B.Y. Rubinstein, and M. Sheintuch, Chem. Eng. Sci. 56, 771 (2001).
9. O.A. Nekhamkina and M. Sheintuch, Phys. Rev. E 66, 016204 (2002).
10. M. Sheintuch and O. Nekhamkina, AIChE J. 49, 1241 (2003).
11. P. Andresén, M. Bache, E. Mosekilde, G. Dewel, and P. Borckmanns, Phys. Rev. E 60, 297 (1999).
12. J.R. Bamforth, S. Kalliadasis, J.H. Merkin, and S.K. Scott, Phys. Chem. Chem. Phys. 2, 4013 (2000).
13. J.R. Bamforth, J.H. Merkin, S.K. Scott, R. Tóth, and V. Gáspár, Phys. Chem. Chem. Phys. 3, 1435 (2001).
14. R.A. Satnoianu and M. Menzinger, Phys. Rev. E 62, 113 (2000).
15. R.A. Satnoianu, P.K. Maini and M. Menzinger, Physica D 160, 79 (2001).
16. K.R. Westerterp, W.P.M. Van Swaaij, and A.A.C.M. Beenackers, Chemical Reactor Design and Operation (Wiley, New York, 1984).
17. D.V. Jorgensen and R. Ans, Chem. Eng. Sci. 38, 45 (1983).
18. M. Sheintuch, Y. Smagina, and O. Nekhamkina, Ind. Eng. Chem. Res. 41, 2136 (2002).
19. U. Middya, D. Luss, and M. Sheintuch, J. Chem. Phys. 101, 4688 (1994).
20. E.J. Doedel, Congr. Numer. 30, 265 (1981).
21. R.J. Briggs, Electro-Stream Interaction with Plasmas (MIT Press, Cambridge, MA, 1964).
22. R.J. Deissler, J. Stat. Phys. 40, 371 (1985).
23. E.M. Lifshits and L.P. Pitaevskii, Physical Kinetics (Pergamon, Oxford, 1981).
24. A.S. Mikhailov, Foundation of Synergetics I. Distributed Active Systems (Springer-Verlag, Berlin, 1990).
25. N.N. Yanenko, The Method of Fractional Steps; the Solution of Problems of Mathematical Physics in Several Variables (Springer, Berlin, 1971).