Approximate Inertial Manifolds for Chemotaxis-Growth System  

作　　者：Hong LUO Zhilin PU 

机构地区：[1]College of Mathematics and Software Science,Sichuan Normal University,Sichuan 610066,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2012年第2期201-212,共12页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 11071177);the Natural Science Foundation of Sichuan Education Department (No. 11ZA102)

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.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.

关 键 词：approximate inertial manifolds chemotaxis-growth system long-time behaviour contraction principle. 

分 类 号：O175.29[理学—数学] N94[理学—基础数学]