Finite time blow-up for a reaction-diffusion system in bounded domain
β Scribed by Xueli Bai
- Book ID
- 120780976
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Weight
- 172 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0044-2275
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This paper investigates the blow-up and global existence of solutions of the degenerate reactiondiffusion system with homogeneous Dirichlet boundary data, where β R N is a bounded domain with smooth boundary \* , m, n > 1, , 0 and p, q > 0. It is proved that if m > , n > and pq < (m -)(n -) every n
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