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<p>In this paper we prove vanishing viscosity limits of a coupled chemotaxis-fluid model in a bounded domain Ω ⊂ ℝ<sup>3</sup>. The proof is based on the Banach’s fixed point theorem and the <i>L</i><sup>p</sup>-energy method. In addition, the <i>L</i><sup>∞</sup>-estimates and gradient estimates of the heat equations also play a crucial role.</p>

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Vanishing Viscosity Limits of a Chemotaxis-Navier-Stokes Model

  • 期刊论文

  • 发表日期：

    2025年10月6日

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  • Ji-shan Fan,
  • Fu-cai Li

摘要

In this paper we prove vanishing viscosity limits of a coupled chemotaxis-fluid model in a bounded domain Ω ⊂ ℝ3. The proof is based on the Banach’s fixed point theorem and the Lp-energy method. In addition, the L∞-estimates and gradient estimates of the heat equations also play a crucial role.