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

Myeongju Chae; Kyungkeun Kang; Jihoon Lee

doi:10.4134/JKMS.2016.53.1.127

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

Myeongju Chae, Kyungkeun Kang, Jihoon Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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.

Original language	English
Pages (from-to)	127-146
Number of pages	20
Journal	Journal of the Korean Mathematical Society
Volume	53
Issue number	1
DOIs	https://doi.org/10.4134/JKMS.2016.53.1.127
Publication status	Published - 2016

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Publisher Copyright:
© 2016 Korean Mathematical Society.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4134/JKMS.2016.53.1.127

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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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AU - Chae, Myeongju

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AU - Lee, Jihoon

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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