Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891706 | Computers & Mathematics with Applications | 2018 | 13 Pages |
Abstract
This paper deals with the following chemotaxis-Stokes system nt+uâ
ân=Înmâââ
(nS(x,n,c)â
âc),xâΩ,t>0,ct+uâ
âc=Îcânf(c),xâΩ,t>0,ut=Îu+âP+nâÏ,xâΩ,t>0,ââ
u=0,xâΩ,t>0in a bounded domain ΩâR2 with smooth boundary, ÏâW1,â(Ω), f and S are given sufficiently smooth functions with values in [0,â) and R2Ã2, respectively. Here S satisfies |S(x,n,c)|1+α and αâ¥0, the corresponding system possesses a global bounded weak solution for any sufficiently regular initial data (n0,c0,u0) satisfying n0â¥0 and c0â¥0.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Yilong Wang,