The incompressible fractional Navier–Stokes equations in the rotational framework is considered. We establish the global existence result and temporal decay estimate for a unique smooth solution when the speed of rotation is sufficiently rapid. It is found that the strong rotational effect enhances the temporal decay rate of a certain norm of the velocity.

中文翻译：

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科里奥利效应对分数阶 Navier-Stokes 方程全局解的时间衰减率的影响

考虑了旋转框架中的不可压缩分数 Navier-Stokes 方程。当旋转速度足够快时，我们为唯一的平滑解建立全局存在结果和时间衰减估计。结果表明，强烈的旋转效应增强了速度某一范数的时间衰减率。