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Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids

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Abstract

We consider the equations describing the three-dimensional steady motions of binary mixtures of heat-conductive compressible viscous fluids. An existence theorem for the boundary value problem that corresponds to flows in a bounded domain is proved in the class of weak generalized solutions.

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Correspondence to N. A. Kucher.

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Original Russian Text Copyright © 2012 Kucher N.A., Mamontov A.E., and Prokudin D.A.

The authors were supported by the Russian Foundation for Basic Research (Grant 12-01-00390) and the Siberian Division of the Russian Academy of Sciences (Integration Project 30).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 6, pp. 1338-1353, November–December, 2012.

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Kucher, N.A., Mamontov, A.E. & Prokudin, D.A. Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids. Sib Math J 53, 1075–1088 (2012). https://doi.org/10.1134/S0037446612060110

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  • DOI: https://doi.org/10.1134/S0037446612060110

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