Nonstationary boundary problem for model kinetic equations at critical parameters |
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Authors: | A V Latyshev A A Yushkanov |
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Institution: | (1) Moscow Pedagogical University, Moscow, Russia |
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Abstract: | Nonstationary solutions of the model kinetic equation at critical values of the motion of the wall (the boundary of the half-space
occupied by gas) are studied. The characteristic equation is obtained by separating the variables. The eigenfunctions and
the eigenvalue spectrum are found in the distribution space. A solution to the equation is expandable over the eigenfunction
basis. The Rayleigh problem is considered as an application. The distribution function is continuous in the plane of the wall-motion
parameters, including the closed curve of critical parameter values.
Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 116. No. 2, pp. 305–320. August. 1998. |
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