We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor. This is fundamental and plays an important role in the associated parabolic problem and will be used to prove maximal $L^{p}-L^{q}$ regularity results for the non-homogeneous Stokes problem.
The Inviscid Limit of the Navier-Stokes Equations with Kinematic and Navier Boundary Conditions
On the motion of a fluid-filled rigid body with Navier Boundary conditions
On convergence criteria for incompressible Navier-Stokes equations with Navier boundary conditions and physical slip rates
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