We deal with a parabolic-elliptic chemotaxis system. It is known that finite-time blowup occurs for a large class of initial data. However, there have been no results on exact blowup rate or detailed blowup behavior except a special radial solution given just formally in [13] and rigorously in [19, 10, 9]. Our aim is to show that for all radial blowup solutions, their blowup rate, and blowup profile related to mass concentration are the same as those of the special solution. This implies that there is exactly one blowup behavior including blowup rate in radial case . © 2020 Wiley Periodicals LLC.

中文翻译：

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简化趋化系统的 Blowup 解的改进渐近行为

我们处理抛物线椭圆趋化系统。众所周知，对于一大类初始数据会发生有限时间的爆炸。然而，除了在 [13] 中正式给出并在 [19, 10, 9] 中严格给出的特殊径向解决方案外，还没有关于精确的爆破速率或详细的爆破行为的结果。我们的目的是表明，对于所有径向爆破解决方案，它们的爆破速率和与质量浓度相关的爆破剖面与特殊解决方案的相同。这意味着在径向情况下只有一种爆破行为，包括爆破率。© 2020 威利期刊有限责任公司。