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 fo...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2010
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| In: |
Differential and integral equations
Year: 2010, Volume: 23, Issue: 5/6, Pages: 451-462 |
| ISSN: | 0893-4983 |
| DOI: | 10.57262/die/1356019306 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.57262/die/1356019306 Verlag, lizenzpflichtig, Volltext: https://projecteuclid.org/journals/differential-and-integral-equations/volume-23/issue-5_2f_6/A-Note-on-non-simultaneous-blow-up-for-a-drift/die/1356019306.full 
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| Author Notes: | E.E. Espejo, A. Stevens, J.J.L. Velázquez |
| Summary: | 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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| Item Description: | Elektronische Reproduktion der Druck-Ausgabe Published: May/June 2010, first available in Project Euclid: 20 December 2012 Gesehen am 17.04.2023 |
| Physical Description: | Online Resource |
| ISSN: | 0893-4983 |
| DOI: | 10.57262/die/1356019306 |