  We model the Knudsen layer in Kramers' problem by linearized high order
hyperbolic moment system. Due to the hyperbolicity, the boundary conditions of
the moment system is properly reduced from the kinetic boundary condition. For
Kramers' problem, we give the analytical solutions of moment systems. With the
order increasing of the moment model, the solutions are approaching to the
solution of the linearized BGK kinetic equation. The velocity profile in the
Knudsen layer is captured with improved accuracy for a wide range of
accommodation coefficients.
