Regularity for the Navier--Stokes equations with slip boundary condition
Regularity for the Navier--Stokes equations with slip boundary condition
For the Navier-Stokes equations with slip boundary conditions, we obtain the pressure in terms of the velocity. Based on the representation, we consider the relationship in the sense of regularity between the Navier-Stokes equations in the whole space and those in the half space with slip boundary data.