Blowup Behavior of Radial Solutions to Jäger-Luckhaus System in High Dimensional Domains
Blowup Behavior of Radial Solutions to Jäger-Luckhaus System in High Dimensional Domains
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DOI：
10.1619/fesi.48.247
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
T. Senba
中科院分区：
文献类型：
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作者：
T. Senba
本文考虑三维或多维欧氏空间中一个简化的Keller-Segel模型的径向解的爆破和整体存在性。在二维情况下，爆破解在每个爆破点处具有δ函数奇异性（参见[13]）。然而，在三维情况下，Herrero，Medina和Velazquez [7]表明存在自相似爆破解，并且解具有不同于δ函数奇点的奇点。在本文中，我们将考虑三维或多维情形下的爆破准则和爆破自相似解。
In this paper, we will consider the blowup and the time-global existence of radial solutions to a simplified system of the so called Keller-Segel model in a domain of three or more dimensional Euclidean space. In the two dimensional case, the blowup solutions have a delta function singularity at each blowup point (see [13]). However, in the three dimensional case, Herrero, Medina and Velazquez [7] show that there exist self-similar blowup solutions and that the solutions have a singularity which is different from a delta function singularity. In this paper, we will consider the blowup criterion and the blowup self-similar solutions in the three or more dimensional cases.