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On the Nonhomogeneous Navier--Stokes System with Navier Friction Boundary Conditions

On the Nonhomogeneous Navier--Stokes System with Navier Friction Boundary Conditions

We address the issue of existence of weak solutions for the nonhomogeneous Navier--Stokes system with Navier friction boundary conditions allowing the presence of vacuum zones and assuming rough conditions on the data. We also study the convergence, as the viscosity goes to zero, of weak solutions for the nonhomogeneous Navier--Stokes …