On Asymptotic Behaviors of Solutions to Parabolic Systems Modelling Chemotaxis
نویسندگان
چکیده
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.
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تاریخ انتشار 2012