J. Korean Math. Soc. 2016; 53(1): 127-146
Printed January 1, 2016
https://doi.org/10.4134/JKMS.2016.53.1.127
Copyright © The Korean Mathematical Society.
Myeongju Chae, Kyungkeun Kang, and Jihoon Lee
Hankyong National University, Yonsei University, Chung-Ang University
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.
Keywords: asymptotic behavior, Keller-Segel, Navier-Stokes equations
MSC numbers: 35K55, 75D05, 92B05
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