Abstract
We consider a Keller-Segel model coupled to the incompressible Navier-Stokes equations in spatial dimensions two and three. We establish the local existence of regular solutions and present some blow-up criteria for both cases that equations of oxygen concentration is of parabolic or hyperbolic type. We also prove that solutions exist globally in time and upper bounds of temporal decays are obtained under the some smallness conditions of initial data.
| Original language | English |
|---|---|
| Pages (from-to) | 1205-1235 |
| Number of pages | 31 |
| Journal | Communications in Partial Differential Equations |
| Volume | 39 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2014 Jul |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Cite this
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Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations. / Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon.
In: Communications in Partial Differential Equations, Vol. 39, No. 7, 07.2014, p. 1205-1235.Research output: Contribution to journal › Article
TY - JOUR
T1 - Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
AU - Chae, Myeongju
AU - Kang, Kyungkeun
AU - Lee, Jihoon
PY - 2014/7
Y1 - 2014/7
N2 - We consider a Keller-Segel model coupled to the incompressible Navier-Stokes equations in spatial dimensions two and three. We establish the local existence of regular solutions and present some blow-up criteria for both cases that equations of oxygen concentration is of parabolic or hyperbolic type. We also prove that solutions exist globally in time and upper bounds of temporal decays are obtained under the some smallness conditions of initial data.
AB - We consider a Keller-Segel model coupled to the incompressible Navier-Stokes equations in spatial dimensions two and three. We establish the local existence of regular solutions and present some blow-up criteria for both cases that equations of oxygen concentration is of parabolic or hyperbolic type. We also prove that solutions exist globally in time and upper bounds of temporal decays are obtained under the some smallness conditions of initial data.
UR - http://www.scopus.com/inward/record.url?scp=84901273571&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84901273571&partnerID=8YFLogxK
U2 - 10.1080/03605302.2013.852224
DO - 10.1080/03605302.2013.852224
M3 - Article
AN - SCOPUS:84901273571
VL - 39
SP - 1205
EP - 1235
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
SN - 0360-5302
IS - 7
ER -