Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898741 | Journal of Differential Equations | 2018 | 22 Pages |
Abstract
In this paper, we deal with the following coupled chemotaxis-fluid model{nt+uâ
ân=Înmâââ
(n(1+n)âαâc)+γnâμn2,ct+uâ
âc=Îcâc+n,ut=ÎuââÏ+nâÏ,ââ
u=0 in a bounded domain ΩâR3 with zero-flux boundary for n,c and no-slip boundary for u. It is shown that for any large initial datum, for any m>0, α>0, the problem admits a global weak solution, which is uniformly bounded. On the basis of this, the stability of the steady states also be discussed. The study of this paper improve the results in [15], in which, the global existence and boundedness of weak solutions are established for m>13, α>65âm.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chunhua Jin,