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

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

Volumn 68, Issue 3, 2003, Pages 10-

  Nekhamkina, Olga ^a   Sheintuch, Moshe ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

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Indexed keywords

EID: 85035294780     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.68.036207     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. Aris, 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).