On explosions of solutions to a system of partial differential equations modelling chemotaxis
A system of partial differential equations modelling chemotactic aggregation is analysed (Keller-Segel model). Conditions on the system of parameters are given implying global existence of smooth solutions. In two space dimensions and radially symmetric situations, explosion of the bacteria concentr...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1992
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| In: |
Transactions of the American Mathematical Society
Year: 1992, Volume: 329, Issue: 2, Pages: 819-824 |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/S0002-9947-1992-1046835-6 |
| Online Access: | Resolving-System, kostenfrei, Volltext: http://dx.doi.org/10.1090/S0002-9947-1992-1046835-6 Verlag, kostenfrei, Volltext: http://www.ams.org/journals/tran/1992-329-02/S0002-9947-1992-1046835-6/ 
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| Author Notes: | W. Jäger and S. Luckhaus |
| Summary: | A system of partial differential equations modelling chemotactic aggregation is analysed (Keller-Segel model). Conditions on the system of parameters are given implying global existence of smooth solutions. In two space dimensions and radially symmetric situations, explosion of the bacteria concentration in finite time is shown for a class of initial values. |
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| Item Description: | Gesehen am 10.09.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/S0002-9947-1992-1046835-6 |