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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B82-01.pdf | 104.08 kB | Adobe PDF | 見る/開く |
| タイトル: | Blowup of solutions to an indirect chemotaxis system (Regularity and Asymptotic Analysis for Critical Cases of Partial Differential Equations) |
| 著者: | Senba, Takasi |
| 著者名の別形: | センバ, タカシ |
| キーワード: | 35B44 35J91 35K45 35Q92 92C17 blow-up chemotaxis Lyapunov functional indirect process |
| 発行日: | Jun-2020 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B82 |
| 開始ページ: | 1 |
| 終了ページ: | 10 |
| 抄録: | This manuscript summarizes results by Fujie and Senba (2017, 2019). In this manuscript, we describe properties of solutions to an indirect chemotaxis system. The system is one of chemotaxis systems, and has three unknown functions. These three functions correspond to density of living thing and concentrations of two kinds of chemical substances, respectively. When the dimension of the domain is less than four, our system does not have blowup solutions. In four dimensional case, our system has blowup solutions. In this manuscript, I will describe details of these results and sketch of these proofs. |
| 記述: | Regularity and Asymptotic Analysis for Critical Cases of Partial Differential Equations. May 29-31, 2019. edited by Takayoshi Ogawa, Keiichi Kato, Mishio Kawashita and Masashi Misawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/260674 |
| 出現コレクション: | B82 Regularity and Asymptotic Analysis for Critical Cases of Partial Differential Equations |
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