The Global Existence of Solutions for Two Classes of Chemotaxis Models

作     者：Feng-long QU Ya-ping WU 

作者机构：School of Mathematics and Informational Science Yantai University Department of MathematicsCapital Normal University 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2014年第30卷第3期

页      面：555-570页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(11071172,11201402,11201266) Beijing Natural Science Foundation(1132003) Beijing Municipal Education Commission(KZ201310028030) Tianyuan Youth Foundations for Mathematics of NNSFC(11026098,11026150) 

主　　题：chemotactic systems global existence uniformly boundedness energy estimates. 

摘      要：This paper is concerned with the global existence and uniform boundedness of solutions for two classes of chemotaxis models in two or three dimensional spaces. Firstly, by using detailed energy estimates, special interpolation relation and uniform Gronwall inequality, we prove the global existence of uniformly bounded solutions for a class of chemotaztic systems with linear chemotactic-sensitivity terms and logistic reaction terms. Secondly, by applying detailed analytic semigroup estimates and special iteration techniques, we obtain the global existence of uniformly bounded solutions for a class of chemotactic systems with nonlinear chemotacticsensitivity terms, which extends the global existence results of [6] to other general cases.