Geodesic
Nonstationary boundary problem for model kinetic equations at critical parameters
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 305-320

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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. 
@article{TMF_1998_116_2_a10,
     author = {A. V. Latyshev and A. A. Yushkanov},
     title = {Nonstationary boundary problem for model kinetic equations at critical parameters},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {305--320},
     publisher = {mathdoc},
     volume = {116},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a10/}
}
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A. V. Latyshev; A. A. Yushkanov. Nonstationary boundary problem for model kinetic equations at critical parameters. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 305-320. http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a10/