Stability of Some Mechanisms of Chemotactic Aggregation

Source abstract

In this paper, the stability of a blow-up mechanism for a particular Keller--Segel model that yields chemotactic aggregation is considered. It is shown using matched asymptotic methods that the considered blow-up mechanism is stable. More precisely, 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.