Sib. Èlektron. Mat. Izv., 2022 Volume 19, Issue 2, Pages 959–971
(Mi semr1553)
Differentical equations, dynamical systems and optimal control Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media A. E. Mamontov ab ,
D. A. Prokudin cb 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.
UDC:
517.95
MSC: 35A05 Received November 17, 2022 , published
December 10, 2022
DOI:
10.33048/semi.2022.19.080
© , 2025
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