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解析学火曜セミナー
過去の記録 ～10/14｜次回の予定｜今後の予定 10/15～
| 開催情報 | 火曜日 16:00～17:30 数理科学研究科棟(駒場) 156号室 |
|---|---|
| 担当者 | 石毛 和弘, 坂井 秀隆, 伊藤 健一 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/seminar/analysis/ |
2022年04月26日(火)
16:00-17:30 数理科学研究科棟(駒場) 126号室
対面・オンラインハイブリッド開催
和久井洋司 氏 (東京理科大学)
Existence of a bounded forward self-similar solution to a minimal Keller-Segel model (Japanese)
https://forms.gle/mrXnjsgctSJJ1WSF6
対面・オンラインハイブリッド開催
和久井洋司 氏 (東京理科大学)
Existence of a bounded forward self-similar solution to a minimal Keller-Segel model (Japanese)
[ 講演概要 ]
In this talk, we consider existence of a bounded forward self-similar solution to the initial value problem of a minimal Keller-Segel model. It is well known that the mass conservation law plays an important role to classify its large time behavior of solutions to Keller-Segel models. On the other hand, we could not expect existence of self-similar solutions to our problem with the mass conservation law except for the two dimensional case due to the scaling invariance of our problem. We will show existence of a forward self-similar solution to our problem. The key idea to guarantee boundedness of its self-similar solution is to choose a concrete upper barrier function using the hypergeometric function.
[ 参考URL ]In this talk, we consider existence of a bounded forward self-similar solution to the initial value problem of a minimal Keller-Segel model. It is well known that the mass conservation law plays an important role to classify its large time behavior of solutions to Keller-Segel models. On the other hand, we could not expect existence of self-similar solutions to our problem with the mass conservation law except for the two dimensional case due to the scaling invariance of our problem. We will show existence of a forward self-similar solution to our problem. The key idea to guarantee boundedness of its self-similar solution is to choose a concrete upper barrier function using the hypergeometric function.
https://forms.gle/mrXnjsgctSJJ1WSF6
