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May/June 2010 A Note on non-simultaneous blow-up for a drift-diffusion model
E.E. Espejo, A. Stevens, J.J.L. Velázquez
Differential Integral Equations 23(5/6): 451-462 (May/June 2010).


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.


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E.E. Espejo. A. Stevens. J.J.L. Velázquez. "A Note on non-simultaneous blow-up for a drift-diffusion model." Differential Integral Equations 23 (5/6) 451 - 462, May/June 2010.


Published: May/June 2010
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35230
MathSciNet: MR2654245

Primary: 35B35 , 35B40 , 35K15 , 35K55

Rights: Copyright © 2010 Khayyam Publishing, Inc.


Vol.23 • No. 5/6 • May/June 2010
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