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.
|Number of pages||12|
|Journal||Differential and Integral Equations|
|Publication status||Published - May 2010|
ASJC Scopus subject areas
- Applied Mathematics