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<p>In this paper, we study the coupled Keller–Segel–Navier–Stokes system, which models chemotaxis occurring 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.</p>

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On the Space-Time Analyticity of the Keller–Segel–Navier–Stokes System

  • 期刊论文

  • 发表日期：

    2025年4月7日

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  • Elie Abdo,
  • Zhongtian Hu

摘要

In this paper, we study the coupled Keller–Segel–Navier–Stokes system, which models chemotaxis occurring 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.