This paper deals with the two-species aerotaxis-Navier–Stokes equations with Lotka–Volterra competitive kinetics in a two dimensional domain $\Omega \subset {\mathbb{R}}^2$. We consider the general chemotactic sensitivity functions and oxygen(chemical) consumption rate functions. We obtain the stabilization of the solution to the system. For the specific conditions on the chemotactic sensitivity and initial data, we obtain the global stabilization when the competition between two species is stronger than that of each own species.

中文翻译：

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二维两物种航轴-Navier-Stokes系统的稳定性

本文在二维域中研究具有Lotka–Volterra竞争动力学的两种物种的Aerootaxis-Navier–Stokes方程 $\Omega \subset {\mathbb{[R}}^2$。我们考虑一般的趋化敏感性函数和氧（化学）消耗率函数。我们获得了系统解决方案的稳定性。对于趋化敏感性和初始数据的特定条件，当两个物种之间的竞争强于每个物种时，我们获得了全局稳定。