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Differentical equations, dynamical systems and optimal control
Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media
A. E. Mamontovab, D. A. Prokudincb a Laboratory for Mathematical and Computer Modeling, in Natural and Industrial Systems, Faculty of Mathematics & Information Technologies, Federal State Institution of Higher Education «Altai State University», pr. Lenina 61, 656049 Barnaul, Russia
b Federal State Institution of Higher Education «Siberian State University of
Telecommunications and Information Science»
st. Kirova, 86,
630102 Novosibirsk, Russia
c Lavrentyev Institute of Hydrodynamics SB RAS, pr. Lavrent'eva, 15, 630090 Novosibirsk, Russia
Abstract:
The problem of steady barotropic motion of a multicomponent medium consisting of viscous compressible fluids in a bounded domain of three-dimensional space is formulated. The solvability of the problem is proved. Viscosity matrices are assumed to be arbitrary (non-diagonal).
Keywords:
existence theorem, steady barotropic flow, viscous compressible multifluid, viscosity matrix.
Received November 17, 2022, published December 10, 2022
Citation:
A. E. Mamontov, D. A. Prokudin, “Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 959–971
Linking options:
https://www.mathnet.ru/eng/semr1553 https://www.mathnet.ru/eng/semr/v19/i2/p959
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Abstract page: | 146 | Full-text PDF : | 49 | References: | 27 |
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