A ONE-DIMENSIONAL REACTION DIFFUSION SYSTEM WITH A FAST REACTION/

Authors
SEIDMAN TI KALACHEV LV
Citation
Ti. Seidman et Lv. Kalachev, A ONE-DIMENSIONAL REACTION DIFFUSION SYSTEM WITH A FAST REACTION/, Journal of mathematical analysis and applications, 209(2), 1997, pp. 392-414
Citations number
6
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
209
Issue
2
Year of publication
1997
Pages
392 - 414
Database
ISI
SICI code
0022-247X(1997)209:2<392:AORDSW>2.0.ZU;2-K
Abstract
We consider a system of second-order ordinary differential equations d escribing steady state for a three-component chemical system (with dif fusion) in the case when one of the reactions is fast. We discuss the existence of solutions and the existence, uniqueness, and characteriza tion of a limit as the rate of the fast reaction approaches infinity. (C) 1997 Academic Press.