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Stability of some mechanisms of chemotactic aggregation. (English) Zbl 1013.35004
The stability of a blow-up mechanism for a particular Keller-Segel model that yields chemotactic aggregation is investigated. It is shown using matched asymptotic methods that the considered blow-up mechanism is stable. It is shown that small perturbations of the initial data produce a small shifting on the blow-up time and the blow-up point but not modification in the blow-up mechanism.

MSC:
35B25 Singular perturbations in context of PDEs
92C17 Cell movement (chemotaxis, etc.)
35C10 Series solutions to PDEs
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
92B05 General biology and biomathematics
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