The fast reaction limit for a reaction-diffusion system

Journal of Mathematical Analysis and Applications

Volumn 199, Issue 2, 1996, Pages 349-373

  Hilhorst, D ^a   Van Der Hout, R ^b   Peletier, L A ^c  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b AKZO NOBEL CENTRAL RESEARCH   (Netherlands)

^c LEIDEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030584908     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0146     Document Type: Article

References (11)

1. 1. R. Aris, "The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts," Clarendon Press, Oxford, 1975.
2. 2. A. Fasano, M. Primicerio, and R. Ricci, Limiting behaviour of some problems in diffusive penetration, Rend. Mat. Appl. (7) 10 (1990), 39-57.
3. 2 and Fab in tumors, Cancer Res. 49 (1989), 5656-5663.
4. 4. A. Friedman, "Partial Differential Equations of Parabolic Type," Prentice Hall, Englewood Cliffs, NJ, 1964.
5. 5. S. Kamin (S. L. Kamenomostkaya), The asymptotic behaviour of the solution of the filtration equation, Israel J. Math. 14 (1973), 105-146.
6. 6. D. Kinderlehrer and G. Stampacchia, "An Introduction to Variational Inequalities and Their Applications," Academic Press, New York, 1980.
7. 7. O. A. Ladyzhenskaya, V. Solonnikov, and N. N. Ural'tseva, Linear and quasilinear equations of parabolic type, in "Transl. Math. Monographs," Vol. 23, Amer. Math. Soc., Providence, RI, 1968.
8. 8. R. McFadden and C. S. Kwok, Mathematical modelling of simultaneous diffusion and binding of antitumor antibodies in multicellular human tumor spheroids, Cancer Res. 48 (1988), 4032-4037.
9. 9. A. M. Meirmanov, "The Stefan Problem," de Gruyter, Berlin, 1992.
10. 10. L. I. Rubinstein, The Stefan problem, in "Transl. Math. Monographs," Vol. 27, Amer. Math. Soc., Providence, RI, 1971.
11. 11. S. Schmidt and P. Ortoleva, Asymptotic solutions of the FKN chemical wave equation, J. Chem. Phys. 72 (1980), 2733-2736.