Vanishing Viscosity Limit for the Compressible Navier-Stokes Equations with Non-Linear Density Dependent Viscosities

In a three-dimensional bounded domain Ω we consider the compressible Navier-Stokes equations for a barotropic fluid with general non-linear density dependent viscosities and no-slip boundary conditions. A nonlinear drag term is added to the momentum equation. We establish two conditional Kato-type criteria for the convergence of the weak solutions to such a system towards the strong solution of the compressible Euler system when the viscosity coefficient and the drag term parameter tend to zero.