| Global Existence of Solutions and Lower Bound Estimate of Blow-Up Time for the Keller-Segel Chemotaxis Model北大核心CSCD |
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| 引用本文： | 李远飞.Global Existence of Solutions and Lower Bound Estimate of Blow-Up Time for the Keller-Segel Chemotaxis Model北大核心CSCD[J].应用数学和力学,2022,43(7):816-824. |
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| 作者姓名： | 李远飞 |
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| 作者单位： | 广州华商学院 数学与统计研究所，广州 511300 |
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| 基金项目： | 广东省普通高校创新团队项目(2020WCXTD008) |
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| 摘 要： | A macroscopic nonlinear Keller-Segel model for chemotactic cell migration was considered, where the existence region of the model is a bounded convex one on Ω ? RN(N≥2). The global existence of the solution on Ω ? R3 was obtained by means of the energy estimate method. The lower bound of the blow-up time was proved for N = 3 and N = 2. © 2022 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.
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| 关 键 词： | Keller-Segel模型 下界 爆破 能量估计 |
| 收稿时间： | 2021-04-25 |
Global Existence of Solutions and Lower Bound Estimate of Blow-Up Time for the Keller-Segel Chemotaxis Model |
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| Li Y..Global Existence of Solutions and Lower Bound Estimate of Blow-Up Time for the Keller-Segel Chemotaxis Model[J].Applied Mathematics and Mechanics,2022,43(7):816-824. |
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| Authors: | Li Y |
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| Institution: | Institute of Mathematics and Statistics, Guangzhou Huashang College, Guangzhou 511300, P.R.China |
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| Abstract: | A macroscopic nonlinear Keller-Segel model for chemotactic cell migration was considered, where the existence region of the model is a bounded convex one on$\varOmega\subset\mathbb{R}^N(N\geqslant2)$. The global existence of the solution on $\varOmega\subset\mathbb{R}^3$ was obtained by means of the energy estimate method. The lower bound of the blow-up time was proved for $N=3 $ and $N=2$. |
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| Keywords: | blow-up energy estimate Keller-Segel model lower bound |
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