Article ID Journal Published Year Pages File Type
4617928 Journal of Mathematical Analysis and Applications 2012 5 Pages PDF
Abstract

Many special cases of the classical Keller–Segel system for modeling chemotaxis have been investigated in the literature, and typically the solution of the governing equations will blow up at some finite time. However, the question of establishing lower bounds for this blow-up time has been largely ignored. This paper derives such a lower bound in a parabolic–parabolic model in both R2 and R3.

Related Topics
Physical Sciences and Engineering Mathematics Analysis