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On the solvability of the boundary value problem of magnetic gas dynamics with cylindrical and spherical symmetry
B. D. Koshanova, G. D. Smatovab, T. B. Uteeva a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan
b Kazakh National Technical University after K. I. Satpaev
Abstract:
In this work we prove the correctness “as a whole” by the time of the initial-boundary value problems for the equations of motion of a viscous heat-conducting gas in view of the magnetic field. Showing the transition from the primary to the three-dimensional Euler equations and the subsequent Lagrangian coordinate variable. Proof of the main results was carried out at the same time to move to the cylindrical and spherical waves.
Keywords:
the equations of the motion of the magnetic gas dynamics, boundary value problem, solvability, cylindrical symmetry, spherical symmetry, magnetic field.
Received: 23.10.2015
Citation:
B. D. Koshanov, G. D. Smatova, T. B. Uteev, “On the solvability of the boundary value problem of magnetic gas dynamics with cylindrical and spherical symmetry”, Sib. J. Pure and Appl. Math., 16:2 (2016), 41–49
Linking options:
https://www.mathnet.ru/eng/vngu401 https://www.mathnet.ru/eng/vngu/v16/i2/p41
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Abstract page: | 183 | Full-text PDF : | 31 | References: | 28 | First page: | 14 |
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