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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
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.
Received: 22.04.2021 Revised: 22.04.2021 Accepted: 11.06.2021
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
Linking options:
https://www.mathnet.ru/eng/smj7618 https://www.mathnet.ru/eng/smj/v62/i5/p1109
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Abstract page: | 147 | Full-text PDF : | 51 | References: | 22 | First page: | 2 |
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