We consider a system of second-order ordinary differential equations describing Ε½ . steady state for a three-component chemical system with diffusion in the case when one of the reactions is fast. We discuss the existence of solutions and the existence, uniqueness, and characterization of a limit as
The Fast Reaction Limit for a Reaction-Diffusion System
β Scribed by D. Hilhorst; R. van der Hout; L.A. Peletier
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 214 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
This paper deals with the blowup estimates of positive solutions for a semilinear reaction diffusion system u t = u + u Ξ± v p , v t = v + u q v Ξ² , with null Dirichlet boundary conditions. The upper and lower bounds of blowup rates are obtained.
## Abstract In this paper, some sufficient conditions under which the quasilinear elliptic system βdiv(β£β__~u~__β£__^pβ2^__β__~u~__) = __u____v__, βdiv(β£β__~u~__β£__^qβ2^__β__~u~__) = __u____v__ in β^N^(__N__β₯3) has no radially symmetric positive solution is derived. Then by using this nonβexistence