| 一类带有反应项的趋化性方程组解的存在唯一性 |
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| 引用本文： | 张建华,杨茵.一类带有反应项的趋化性方程组解的存在唯一性[J].数学杂志,2010,30(4). |
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| 作者姓名： | 张建华 杨茵 |
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| 作者单位： | 1. 华中科技大学,控制科学与工程系,湖北,武汉,430074
2. 华中科技大学,数学与统计学院,湖北,武汉,430074 |
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| 基金项目： | Supported by the National Natural Science Foundations of China(10471108) |
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| 摘 要： | 本文研究了主方程中带有反应项的Keller-Segel趋化性模型.利用截断函数、半群算子和不动点定理,获得了范数估计以及模型局部解的存在唯一性.
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| 关 键 词： | 非线性抛物系统 强耦合系统 趋化性 |
EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR A SYSTEM OF CHEMOTAXIS EQUATION WITH SOME REACTION TERM |
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| ZHANG Jian-hua,YANG Yin.EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR A SYSTEM OF CHEMOTAXIS EQUATION WITH SOME REACTION TERM[J].Journal of Mathematics,2010,30(4). |
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| Authors: | ZHANG Jian-hua YANG Yin |
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| Institution: | ZHANG Jian-hua~a,YANG Yin~b (a.Dept.of Control Science and Engineering,b.School of Math.and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China) |
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| Abstract: | In this article, we study a chemotaxis equation of Keller-Segel type with reaction term in the master equation. By using cut function and operator semigroup and fixed point theorem, we obtain the norm of the operator and the local existence and uniqueness of the solution. |
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| Keywords: | nonlinear parabolic system strongly coupled systems chemotaxis |
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