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

Resolving Knudsen Layer by High Order Moment Expansion