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arXiv · 2402.04564

On the space-time analyticity of the Keller-Segel-Navier-Stokes system

Elie Abdo·Zhongtian Hu
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Abstract

In this paper, we study the coupled Keller-Segel-Navier-Stokes system, which models chemotaxis occuring in ambient viscous fluid. We consider this nonlinear, nonlocal system on a periodic strip, equipped with homogeneous Neumann boundary conditions for the Keller-Segel part and no-slip boundary condition for the fluid part. We prove the simultaneous space-time analyticity of the solution up to the boundary based on energy methods.

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Elie Abdo, Zhongtian Hu. 2024-02-07. On the space-time analyticity of the Keller-Segel-Navier-Stokes system. https://arxiv.org/abs/2402.04564

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