In this paper, we investigate existence of global-in-time strong solutions to the kinetic Cucker–Smale model coupled with the Stokes equations in the whole space. By introducing a weighted Sobolev space and using space–time estimates for the linear non-stationary Stokes equations, we present a complete analysis on the existence of global-in-time strong solutions to the coupled model without any smallness restrictions on initial data.

中文翻译：

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动力学Cucker-Smale模型与Stokes方程相结合的强解的整体存在

在本文中，我们研究了在整个空间中动力学Cucker-Smale模型与Stokes方程相结合的全局及时强解的存在。通过引入加权的Sobolev空间并使用线性非平稳Stokes方程的时空估计，我们对耦合模型的全局及时强解的存在进行了完整分析，而对初始数据没有任何小限制。