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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 95, Number 3, Pages 530–540
(Mi tmf1484)
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This article is cited in 16 scientific papers (total in 16 papers)
Analytic solution to the problem of the temperature jump in a gas with rotational degrees of freedom
A. V. Latyshev, A. A. Yushkanov Moscow Pedagogical University, Moscow, Russian Federation
Abstract:
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.
Received: 22.09.1992
Citation:
A. V. Latyshev, A. A. Yushkanov, “Analytic solution to the problem of the temperature jump in a gas with rotational degrees of freedom”, TMF, 95:3 (1993), 530–540; Theoret. and Math. Phys., 95:3 (1993), 758–765
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https://www.mathnet.ru/eng/tmf1484 https://www.mathnet.ru/eng/tmf/v95/i3/p530
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Abstract page: | 319 | Full-text PDF : | 155 | References: | 43 | First page: | 1 |
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