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arXiv · 1503.06901

Global Well-posedness of the Chemotaxis-Navier-Stokes Equations in two dimensions

Myeongju Chae·Kyungkeun Kang·Jihoon Lee·Ki-Ahm Lee
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Abstract

We consider two dimensional Keller-Segel equations coupled with the Navier-Stokes equations modelled by Tuval et al.[32]. Assuming that the chemotactic sensitivity and oxygen consumption rate are nondecreasing and differentiable, we prove that there is no blow-up in a finite time for solutions with large initial data to chemotaxis-Navier-Stokes equations in two dimensions. In addition, temporal decays of solutions are shown, as time tends to infinity.

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Myeongju Chae, Kyungkeun Kang, Jihoon Lee, Ki-Ahm Lee. 2015-03-24. Global Well-posedness of the Chemotaxis-Navier-Stokes Equations in two dimensions. https://arxiv.org/abs/1503.06901

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