Article ID Journal Published Year Pages File Type
844403 Nonlinear Analysis: Theory, Methods & Applications 2007 23 Pages PDF
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 L1L1-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.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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