Abstract
In this paper, we consider a drift-di usion model of parabolic- elliptic type, with three coupled equations. We prove that there exist parameter regimes for which non-simultaneous blow-up of solutions happens. This is in contrast to a two-chemotactic species model, coupled to an elliptic equation for an attractive chemical produced by the two species, where blow-up of one species implies blow-up of the other one at the same time. Also, we show that the range of parameters of the drift-di usion model in this paper, for which blow-up happens, is larger than suggested by previous results in the literature.
Original language | English |
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Pages (from-to) | 451-462 |
Number of pages | 12 |
Journal | Differential and Integral Equations |
Volume | 23 |
Issue number | 5-6 |
Publication status | Published - May 2010 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics