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MiS Preprint

A Note on Non-Simultaneous Blow-up for a Drift-Diffusion Model

Elio Eduardo Espejo, Angela Stevens and Juan J.L. Velazquez


In this paper we consider a drift-diffusion 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-diffusion model in this paper, for which blow-up happens, is larger than suggested by previous results in the literature.

Feb 18, 2009
Feb 24, 2009

Related publications

2010 Repository Open Access
Elio Eduardo Espejo Arenas, Angela Stevens and Juan J. L. Velázquez

A note on non-simultaneous blow-up for a drift-diffusion model

In: Differential and integral equations, 23 (2010) 5/6, pp. 451-462