Abstract
We consider a parabolic–elliptic system which is introduced as a simplified version of the so-called Keller–Segel system. In particular, we consider the system in a bounded domain of two dimensional Euclidean space. In that situation, we can find solutions to the system blowing up in finite time. Then, these solutions become the sum of an L 1 -function and delta functions at the blowup time. As regards the blowup speed, there exists a radial solution whose blowup speed is faster than that of backward self-similar solutions. We refer to that blowup as Type II blowup. In this paper, we investigate whether finite time blowup solutions to the system exhibit Type II blowup or not.
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