Semigroup Theory for the Stokes Operator with Navier Boundary Condition on Lp Spaces
Semigroup Theory for the Stokes Operator with Navier Boundary Condition on Lp Spaces
We consider the incompressible Navier–Stokes equations in a bounded domain with \(\mathcal {C}^{1,1}\) boundary, completed with slip boundary condition. We study the general semigroup theory in Lp-spaces related to the Stokes operator with Navier boundary condition where the slip coefficient α is a non-smooth scalar function. It is shown that …