Abstract
We consider a coupled system consisting of the Navier-Stokes equations and a porous medium type of Keller-Segel system that model the motion of swimming bacteria living in fluid and consuming oxygen. We establish the global-in-time existence of weak solutions for the Cauchy problem of the system in dimension three. In addition, if the Stokes system, instead Navier-Stokes system, is considered for the fluid equation, we prove that bounded weak solutions exist globally in time.
| Original language | English |
|---|---|
| Article number | 041503 |
| Journal | Journal of Mathematical Physics |
| Volume | 57 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2016 Apr 1 |
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All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
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Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion. / Chung, Yun Sung; Kang, Kyungkeun.
In: Journal of Mathematical Physics, Vol. 57, No. 4, 041503, 01.04.2016.Research output: Contribution to journal › Article
TY - JOUR
T1 - Existence of global solutions for a chemotaxis-fluid system with nonlinear diffusion
AU - Chung, Yun Sung
AU - Kang, Kyungkeun
PY - 2016/4/1
Y1 - 2016/4/1
N2 - We consider a coupled system consisting of the Navier-Stokes equations and a porous medium type of Keller-Segel system that model the motion of swimming bacteria living in fluid and consuming oxygen. We establish the global-in-time existence of weak solutions for the Cauchy problem of the system in dimension three. In addition, if the Stokes system, instead Navier-Stokes system, is considered for the fluid equation, we prove that bounded weak solutions exist globally in time.
AB - We consider a coupled system consisting of the Navier-Stokes equations and a porous medium type of Keller-Segel system that model the motion of swimming bacteria living in fluid and consuming oxygen. We establish the global-in-time existence of weak solutions for the Cauchy problem of the system in dimension three. In addition, if the Stokes system, instead Navier-Stokes system, is considered for the fluid equation, we prove that bounded weak solutions exist globally in time.
UR - http://www.scopus.com/inward/record.url?scp=84964915256&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84964915256&partnerID=8YFLogxK
U2 - 10.1063/1.4947107
DO - 10.1063/1.4947107
M3 - Article
VL - 57
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 4
M1 - 041503
ER -