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.  
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).
Author NameAffiliation
Hong LUO College of Mathematics and Software Science, Sichuan Normal University, Sichuan 610066, P. R. China 
Zhilin PU 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.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.02.008
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