Differential and Integral Equations
- Differential Integral Equations
- Volume 23, Number 5/6 (2010), 451-462.
A Note on non-simultaneous blow-up for a drift-diffusion model
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.
Differential Integral Equations, Volume 23, Number 5/6 (2010), 451-462.
First available in Project Euclid: 20 December 2012
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Espejo, E.E.; Stevens, A.; Velázquez, J.J.L. A Note on non-simultaneous blow-up for a drift-diffusion model. Differential Integral Equations 23 (2010), no. 5/6, 451--462. https://projecteuclid.org/euclid.die/1356019306