Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417021 | Journal of Differential Equations | 2016 | 44 Pages |
Abstract
This paper is concerned with a coupled chemotaxis-Navier-Stokes system{nt+uâ ân=Înâââ (nâc),xâR2,t>0,ct+uâ âc=Îcânc,xâR2,t>0,ut+uâ âu=Îu+âP+nâÏ,xâR2,t>0,ââ u=0,xâR2,t>0, which describes the motion of oxygen-driven bacteria in a fluid. The gravitational potential Ï is assumed to satisfy some technical conditions. It is proved that global classical bounded solutions exist for regular initial data.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yan Li, Yuxiang Li,