Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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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.

Asymptotic behaviors of solutions for an aerotaxis model coupled to fluid equations

Myeongju Chae, Kyungkeun Kang, and Jihoon Lee

Hankyong National University, Yonsei University, Chung-Ang University

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.

Keywords: asymptotic behavior, Keller-Segel, Navier-Stokes equations

MSC numbers: 35K55, 75D05, 92B05