Global Well-Posedness for the Navier-Stokes Equations with the Coriolis Force in Function Spaces Characterized by Semigroups

摘要

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.