Abstract
An approximate method in kinetic theory is applied to a model equation with velocity-dependent collision frequency. The Kramers problem is solved and an expression for the slip coefficient in terms of the collision frequency is obtained. The behavior of the solution in the kinetic layer and the far field is examined. The analytical form of the solution in the kinetic layer is shown to be independent of the collision frequency. In the far field, the solution is seen to contain a nonhydrodynamical term with an analytical form which depends on the asymptotic behavior of the collision frequency for high-speed molecules. An expression for the decay rate of the nonhydrodynamical portion of the solution is given in terms of the collision frequency. This expression is seen to agree with other known results.
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