| 一类带Logistic源项的趋化方程组解的整体存在性和有界性 |
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| 引用本文： | 黄婷,林静秋.一类带Logistic源项的趋化方程组解的整体存在性和有界性[J].西华大学学报(自然科学版),2020,39(2):100-105. |
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| 作者姓名： | 黄婷 林静秋 |
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| 作者单位： | 西华大学理学院,四川成都610039;西华大学理学院,四川成都610039 |
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| 摘 要： | 主要研究一类具有logistic源项的趋化方程组在三维有界区域上的Neumann初边值问题。通过不等式技巧、解的表达式以及半群理论等，证明了当logistic源项的非线性增长指标α > 7/3时，原方程组存在唯一有界的整体经典解。
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| 关 键 词： | 趋化方程组 Logistic源项 整体存在性 有界性 |
| 收稿时间： | 2019-01-25 |
Global Existence and Boundedness of a Chemotaxis System with Logistic Source |
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| HUANG Ting,LIN Jingqiu.Global Existence and Boundedness of a Chemotaxis System with Logistic Source[J].Journal of Xihua University:Natural Science Edition,2020,39(2):100-105. |
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| Authors: | HUANG Ting LIN Jingqiu |
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| Affiliation: | School of Science, Xihua University, Chengdu 610039 China |
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| Abstract: | In this paper, we mainly study Neumann initial-boundary value problems for the chemotaxis system with logistic source in three-dimensional bounded domain. By using the inequality technique, the expression of the solutions and the semigroup theory, etc, we proved that for logistic source term, when the nonlinear growth index α > 7/3, this Neumann boundary-value problem possesses a unique global bounded classical solution. |
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