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 

机构地区：[1]Department of Mathematics,Jiangxi University of Finance and Economics,Nanchang 330032,China [2]School of Mathematics and Computer,Yuzhang Normal University,Nanchang 330103,China

出　　处：《Acta Mathematicae Applicatae Sinica》2024年第4期1015-1024,共10页应用数学学报（英文版）

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)。

摘　　要：The paper deals with a Cauchy problem for the chemotaxis system with the effect of fluid■where d≥2.It 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 space.The present work asserts that these solutions stabilize to(u^(∞),n^(∞),c^(∞))as∈^(-1)→0.Moreover,we show that c^(∈)(t)has the initial layer as∈^(-1)→0.As one expects its limit behavior maybe give a new viewlook to understand the system.

关 键 词：chemotaxis system initial layer limit behavior Fourier space 

分 类 号：O175[理学—数学]