Blowup Behavior of Radial Solutions to Jaeger-Luckhaus System in High Dimensional Domains

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概要

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• 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 Velázquez [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.

• 日本数学会函数方程式論分科会の論文

著者

• Senba Takasi

  University of Miyazaki

関連論文

• Blowup Behavior of Radial Solutions to Jaeger-Luckhaus System in High Dimensional Domains

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