We consider the initial value problem for the Navier–Stokes equations with the Coriolis force. We introduce function spaces of the Besov type characterized by the time evolution semigroup associated with the linear Stokes–Coriolis operator. Then, we show the unique existence of global in time mild solutions for small initial data belonging to our function spaces in both the scaling subcritical and critical settings.

中文翻译：

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半群表征的函数空间中具有科里奥利力的Navier-Stokes方程的整体适定性

我们考虑带有科里奥利力的Navier-Stokes方程的初值问题。我们介绍了Besov类型的函数空间，其特征是与线性Stokes–Coriolis算子相关联的时间演化半群。然后，我们展示了在缩放次临界和临界设置下，属于我们函数空间的小型初始数据的及时全局解的全局唯一性。