Instantaneous limits of reversible chemical reactions in presence of macroscopic convection

Journal of Differential Equations

Volumn 193, Issue 1, 2003, Pages 27-48

  Bothe, Dieter ^a  

^a UNIVERSITY OF PADERBORN   (Germany)

Author keywords

Instantaneous reaction limit; Mass action kinetics; Quasi steady state; Singular perturbation

Indexed keywords

EID: 0041513382     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(03)00148-7     Document Type: Article

References (12)

1. H. Amann, Gewöhnliche Differentialgleichungen, 2nd edition, de Gruyter, Berlin, 1995.
2. D. Bothe, The instantaneous limit of a reaction-diffusion system, in: G. Lumer, L. Weis (Eds.), Evolution Equations and their Applications in Physical and Life Sciences, Pure and Applied Mathematics, Vol. 215, Marcel Dekker, New York, 2001, pp. 215-224.
3. D. Bothe, D. Hilhorst, A reaction-diffusion system with fast reversible reaction, J. Math Anal. Appl. (to appear).
4. P. Erdi, J. Toth, Mathematical Models of Chemical Reactions, Manchester University Press, Manchester, 1989.
5. J.H. Espenson, Chemical Kinetics and Reaction Mechanisms, 2nd edition, McGraw-Hill, New York, 1995.
6. M. Feinberg, The existence and uniqueness of steady states for a class of chemical reaction networks, Arch. Rational Mech. Anal. 132 (1995) 311-370.
7. R. Heinrich, M. Schauer, Quasi-steady-state approximation in the mathematical modeling of biochemical reaction networks, Math. Biosci. 65 (1983) 155-170.
8. F. Horn, R. Jackson, General mass action kinetics, Arch. Rat. Mech. Anal. 47 (1972) 81-116.
9. A. Nakamura, M. Tsutsui, Principles and Applications of Homogeneous Catalysis, Wiley, New York, 1980.
10. L.A. Segel, M. Slemrod, The quasi-steady-state assumption: a case study in perturbation, SIAM Review 31 (1989) 446-477.
11. A.I. Vol'pert, Differential equations on graphs, Math. USSR Sbornik 17 (1972) 571-582.
12. A.I. Vol'pert, S.I. Hudjaev, Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics, Kluwer, Dordrecht, 1985.