Boundedness and blow-up behavior for reaction–diffusion systems in a bounded domain
✍ Scribed by Jian Zhang
- Book ID
- 104331758
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 83 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper is concerned with a reaction-diffusion system with absorption terms under Dirichlet boundary conditions, modelling the cooperative interaction of two diffusion biological species. By constructing blow-up sub-solutions and bounded super-solutions, we obtain the optimal conditions on the ex
This work is concerned with the following system: which is a model to describe several phenomena in which aggregation plays a crucial role as, for instance, motion of bacteria by chcmotaxis and equilibrium of self-attracting clusters. When the space dimension N is equal to three, we show here that
This paper deals with the blow-up rate of positive solution to semilinear reaction diffusion system: (Ul)t = AUl "~-uPl,..-, (Un-1)t -~ AUn-1 "~ UPn n-1 , (Un)t : AUn -~-U p'L , with null Dirichlet boundary conditions. The upper and lower bounds of blow-up rate were obtained. (~) 2002 Elsevier Scien
We consider the nonlinear reaction-diffusion system existence and finite time blow-up coexist.
## Abstract In this paper, some sufficient conditions under which the quasilinear elliptic system ‐div(∣∇__~u~__∣__^p‐2^__∇__~u~__) = __u____v__, ‐div(∣∇__~u~__∣__^q‐2^__∇__~u~__) = __u____v__ in ℝ^N^(__N__≥3) has no radially symmetric positive solution is derived. Then by using this non‐existence