Analytic solution to the problem of the temperature jump in a~gas with rotational degrees of freedom
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 3, pp. 530-540
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An exact solution is obtained for the first time for the problem of the temperature jump in a gas with allowance for internal (rotational) degrees of freedom. The treatment is based on a model collision integral proposed by the authors. The problem reduces to the solution of a boundary-value problem for a linear vector transport equation with matrix kernel. Separation of the variable leads to a characteristic equation for which eigenvectors are found in a space of generalized functions and the eigenvalue spectrum is investigated. An expansion of the solution to the problem with respect to eigenvectors of the continuous and discrete spectra is established. On the basis of the conditions of solvability of the vector Riemann–Hilbert boundary-value problem which arises in the process of the proof, an exact (in closed form) expression is obtained for the temperature jump.
@article{TMF_1993_95_3_a8,
author = {A. V. Latyshev and A. A. Yushkanov},
title = {Analytic solution to the problem of the temperature jump in a~gas with rotational degrees of freedom},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {530--540},
publisher = {mathdoc},
volume = {95},
number = {3},
year = {1993},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a8/}
}
TY - JOUR AU - A. V. Latyshev AU - A. A. Yushkanov TI - Analytic solution to the problem of the temperature jump in a~gas with rotational degrees of freedom JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1993 SP - 530 EP - 540 VL - 95 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a8/ LA - ru ID - TMF_1993_95_3_a8 ER -
%0 Journal Article %A A. V. Latyshev %A A. A. Yushkanov %T Analytic solution to the problem of the temperature jump in a~gas with rotational degrees of freedom %J Teoretičeskaâ i matematičeskaâ fizika %D 1993 %P 530-540 %V 95 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a8/ %G ru %F TMF_1993_95_3_a8
A. V. Latyshev; A. A. Yushkanov. Analytic solution to the problem of the temperature jump in a~gas with rotational degrees of freedom. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 3, pp. 530-540. http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a8/