On explosions of solutions to a system of partial differential equations modelling chemotaxis
Authors:
- W. JägerWJW. Jäger
- S. LuckhausSLS. Luckhaus
- 1 February 1992
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 329 (2) , 819-824
Abstract
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.Keywords
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