| Approximate Inertial Manifolds for Chemotaxis-Growth System |
| Received:April 15, 2010 Revised:April 22, 2011 |
| Key Words:
approximate inertial manifolds chemotaxis-growth system long-time behaviour contraction principle.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11071177) and the Natural Science Foundation of Sichuan Education Department (No.11ZA102). |
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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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.02.008 |
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