# Analytical solution of the second Stokes problem with variable amplitude on behaviour of gas over oscillation surface. Part I: eigenvalues and eigensolutions

@article{Latyshev2016AnalyticalSO, title={Analytical solution of the second Stokes problem with variable amplitude on behaviour of gas over oscillation surface. Part I: eigenvalues and eigensolutions}, author={Anatolii V. Latyshev and Ekaterina Alekseevna Bedrikova}, journal={arXiv: Fluid Dynamics}, year={2016} }

In the present work the second Stokes problem about behaviour of the rarefied gas filling half-space is formulated. A plane limiting half-space makes harmonious fluctuations with variable amplitude in the plane. The amplitude changes on the exponential law. The kinetic equation with model integral of collisions in the form $\tau$-model is used. The case of diffusion reflexions of gas molecules from a wall is considered. Eigen solutions (continuous modes) of the initial kinetic equation…

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