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The inflow problem for the systems of equations of a viscous heat-conducting gas in the noncylindrical domains expanding in time

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Abstract

For a complete system of equations of the one-dimensional nonstationary motion of some viscous heat-conducting gas, the global solvability is proved of the inflow problem in the noncylindrical domains expanding in time. The proof of the time-global existence and uniqueness theorem is connected with obtaining a priori estimates with the constants depending only on the data of the problem and the value of the time interval T but independent of the existence interval of the local solution.

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Authors and Affiliations

  1. Sterlitamak Branch of Bashkir State University, pr. Lenina 37, Sterlitamak, Bashkortostan, 453103, Russia

    I. A. Kaliev, A. A. Shukhardin & G. S. Sabitova

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  1. I. A. Kaliev
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  2. A. A. Shukhardin
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  3. G. S. Sabitova
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Correspondence to I. A. Kaliev.

Additional information

Original Russian Text © I.A. Kaliev, A.A. Shukhardin, G.S. Sabitova, 2015, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2015, Vol. XVIII, No. 1, pp. 28–44.

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Kaliev, I.A., Shukhardin, A.A. & Sabitova, G.S. The inflow problem for the systems of equations of a viscous heat-conducting gas in the noncylindrical domains expanding in time. J. Appl. Ind. Math. 9, 179–195 (2015). https://doi.org/10.1134/S1990478915020040

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  • DOI: https://doi.org/10.1134/S1990478915020040

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