Abstract
Some one-dimensional boundary value problems are considered from the viewpoint of the Wiener-Hopf integral equation of the second kind. These include the slip flow problem and the problem of transverse oscillations in gases and use the single relaxation model equation as well as a model equation with a velocity-dependent collision frequency. The velocity slips are related to the kernel function in a simple manner. A simple formula is obtained for the microscopic slip in the case of velocity-dependent collision frequency. For the oscillation problem, solutions are obtained in quadrature form in a straightforward manner. This result is discussed along with the application of the present method to the problem of Knudsen flow through a long tube, the heat conduction problem, and the problem of evaporation and condensation.
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