On the Initial Layer and the Limit Behavior for Chemotaxis System with the Effect of Fluid in Fourier Space

作     者：Jian-xiang WAN Hai-ping ZHONG Jian-xiang WAN;Hai-ping ZHONG

作者机构：Department of MathematicsJiangxi University of Finance and EconomicsNanchang 330032China School of Mathematics and ComputerYuzhang Normal UniversityNanchang 330103China 

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

年 卷 期：2024年第40卷第4期

页      面：1015-1024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：partial supported by the National Natural Science Foundation of China(Grant Nos.71774073,71988101) Social Scienceof Jiangxi Provincial(Grant No.20YJ02) Natural Science Foundation of Jiangxi Provincial(Grant No.20171BAA208019) partial supported by Jiangxi Provincial Department of Education Science and Technology Research Project(GJJ213110) 

主　　题：chemotaxis system initial layer limit behavior Fourier space 

摘      要：The paper deals with a Cauchy problem for the chemotaxis system with the effect of fluid■where d≥*** is known that for each∈0 and all sufficiently small initial data(u_(0),n_(0),c_(0))belongs to certain Fourier space,the problem possesses a unique global solution(u^(∈),n^(∈),c^(∈))in Fourier *** present work asserts that these solutions stabilize to(u^(∞),n^(∞),c^(∞))as∈^(-1)→***,we show that c^(∈)(t)has the initial layer as∈^(-1)→*** one expects its limit behavior maybe give a new viewlook to understand the system.