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ASYMPTOTIC BEHAVIORS OF SOLUTIONS FOR AN AEROTAXIS MODEL COUPLED TO FLUID EQUATIONS
- Authors
- Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
- Issue Date
- Jan-2016
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Asymptotic behavior; Keller-segel; Navier-stokes equations
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.53, no.1, pp 127 - 146
- Pages
- 20
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 53
- Number
- 1
- Start Page
- 127
- End Page
- 146
- ISSN
- 0304-9914
2234-3008
- Abstract
- We consider a coupled system of Keller-Segel type equations and the incompressible Navier-Stokes equations in spatial dimension two. We show temporal decay estimates of solutions with small initial data and obtain their asymptotic profiles as time tends to infinity.
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