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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 5, Pages 1109–1123
DOI: https://doi.org/10.33048/smzh.2021.62.512 (Mi smj7618) 		 
Existence of weak solutions to the problem on three-dimensional steady heat-conductive motions of compressible viscous multicomponent mixtures

D. A. Prokudin

Voronezh State University, Voronezh, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.512
Abstract: We consider the equations describing the three-dimensional steady heat-conductive motions of compressible viscous multicomponent mixtures. We also prove the existence of weak solutions to the boundary value problem in a bounded domain without any simplifying assumptions on the structure of the viscosity matrix except for the standard physical requirement of positive definiteness.
Keywords: boundary value problem, existence theorem, dynamics of a mixture, Navier–Stokes equations, weak solution.
Funding agency Grant number
Russian Science Foundation 19-11-00146
The author was supported by the Russian Science Foundation (Grant 19–11–00146).
Received: 22.04.2021
Revised: 22.04.2021
Accepted: 11.06.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 5, Pages 895–907
DOI: https://doi.org/10.1134/S0037446621050128
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35R30
Language: Russian
Citation: D. A. Prokudin, “Existence of weak solutions to the problem on three-dimensional steady heat-conductive motions of compressible viscous multicomponent mixtures”, Sibirsk. Mat. Zh., 62:5 (2021), 1109–1123; Siberian Math. J., 62:5 (2021), 895–907
Citation in format AMSBIB
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