Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899356 | Journal of Mathematical Analysis and Applications | 2018 | 17 Pages |
Abstract
This paper deals with the two-species chemotaxis system with logistic source{ut=ÎuâÏ1ââ
(uâw)+μ1u(1âuâa1v),xâΩ,t>0,vt=ÎvâÏ2ââ
(vâw)+μ2v(1âa2uâv),xâΩ,t>0,wt=Îwâλw+αu+βv,xâΩ,t>0 under homogeneous Neumann boundary condition in a smooth bounded domain ΩâRn(nâ¥1). It is proved that in convex domains the problem possesses a unique global bounded solution if μ1 and μ2 are large enough. Moreover, we establish the existence of global weak solution for any μ1>0 and μ2>0.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qingshan Zhang, Yuxiang Li,