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arXiv · 1304.7536

Global existence and temporal decay in Keller-Segel models coupled to fluid equations

Myeongju Chae·Kyungkeun Kang·Jihoon Lee
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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 global existence and decay estimate in time under the some smallness conditions of initial data.

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Myeongju Chae, Kyungkeun Kang, Jihoon Lee. 2013-04-28. Global existence and temporal decay in Keller-Segel models coupled to fluid equations. https://arxiv.org/abs/1304.7536

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