Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053173 | Applied Mathematics Letters | 2019 | 8 Pages |
Abstract
In this paper, we study the following attraction-repulsion Keller-Segel system ut=Îuâââ
(Ïuâv)+ââ
(ξuâw),xâΩ,t>0,vt=Îv+αuâβv,xâΩ,t>0,0=Îw+γuâδw,xâΩ,t>0,âuâν=âvâν=âwâν=0,xââΩ,t>0,u(x,0)=u0(x),v(x,0)=v0(x),xâΩ,in a bounded domain ΩâR2 with smooth boundary. The boundedness of solutions with arbitrarily large initial data has been proved in the case of ξγâ¥Ïα (Jin and Wang, 2016). Under the additional assumption ξγβâ¥Ïαδ, we show that the global classical solution will converge to the unique constant state (uÌ0,αβuÌ0,γδuÌ0) as tâ+â.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Jiao Xu, Zhengrong Liu, Shijie Shi,