| Chemotaxis-Growth方程的近似惯性流形 |
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| 引用本文： | 罗宏,蒲志林.Chemotaxis-Growth方程的近似惯性流形[J].数学研究及应用,2012,32(2):201-212. |
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| 作者姓名： | 罗宏 蒲志林 |
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| 作者单位： | 四川师范大学数学与软件科学学院, 四川 成都 610066;四川师范大学数学与软件科学学院, 四川 成都 610066 |
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| 基金项目： | 国家自然科学基金(Grant No.11071177),四川省教育厅自然科学基金(Grant No.11ZA102). |
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| 摘 要： | The long-time behaviour of solution to chemotaxis-growth system with Neumann condition is considered in this paper.The approximate inertial manifolds of such equations are constructed based on the contraction principle,and the orders of approximations of the manifolds to the global attractor are derived.
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| 关 键 词： | approximate inertial manifolds chemotaxis-growth system long-time behaviour contraction principle. |
| 收稿时间： | 2010/4/15 0:00:00 |
| 修稿时间： | 2011/4/22 0:00:00 |
Approximate Inertial Manifolds for Chemotaxis-Growth System |
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| Hong LUO and Zhilin PU.Approximate Inertial Manifolds for Chemotaxis-Growth System[J].Journal of Mathematical Research with Applications,2012,32(2):201-212. |
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| Authors: | Hong LUO and Zhilin PU |
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| Institution: | College of Mathematics and Software Science, Sichuan Normal University, Sichuan 610066, P. R. China;College of Mathematics and Software Science, Sichuan Normal University, Sichuan 610066, P. R. China |
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| Abstract: | The long-time behaviour of solution to chemotaxis-growth system with Neumann condition is considered in this paper. The approximate inertial manifolds of such equations are constructed based on the contraction principle, and the orders of approximations of the manifolds to the global attractor are derived. |
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| Keywords: | approximate inertial manifolds chemotaxis-growth system long-time behaviour contraction principle |
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