Article ID Journal Published Year Pages File Type
4611129 Journal of Differential Equations 2012 42 Pages PDF
Abstract

This paper deals with large time behaviors of solutions to a Keller–Segel system which possesses self-similar solutions. By taking into account the invariant properties of the equation with respect to a scaling and translations, we show that suitably shifted self-similar solutions give more precise asymptotic profiles of general solutions at large time. The convergence rate is also computed in details.

Related Topics
Physical Sciences and Engineering Mathematics Analysis