ABSTRACT

The slip boundary conditions for the compressible Navier-Stokes equations are one of the classical matters in kinetic theory and have been discussed in the literature. However, it is not easy to find the complete formulas that can be used immediately in practical applications. In the present talk, this topic is revisited, and the slip boundary conditions are derived in a complete form, together with the explicit values of the coefficients occurring in the formulas. Then, it is applied to the numerical computation of unsteady motion of a slightly rarefied gas caused by a plate oscillating in its normal direction.