Steady Solutions to Equations of Viscous Compressible Multifluids

Steady Solutions to Equations of Viscous Compressible Multifluids Full article

Journal

Axioms
ISSN: 2075-1680

Output data

Year: 2024, Volume: 13, Number: 6, Article number : 362, Pages count : 24 DOI: 10.3390/axioms13060362

Tags

viscous compressible multifluid; viscosity matrix; barotropic flow; boundary value problem; weak generalized solution; existence theorem

Authors

Mamontov Alexander ^1,2 , Prokudin Dmitriy ^1,3

Affiliations

1	Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences, Lavrentyev Pr. 15, Novosibirsk 630090, Russia
2	Laboratory of Mathematical and Computer Modeling in Natural and Industrial Systems, Altai State University, Lenin Pr. 61, Barnaul 656049, Russia
3	Department of Higher Mathematics, Siberian State University of Telecommunications and Information Science, Kirova Str. 86, Novosibirsk 630102, Russia

For the differential equations of the barotropic dynamics of compressible viscous multifluids in a bounded three-dimensional domain with an immobile rigid boundary, a study of the solvability of the boundary value problem is made. Weak generalized solutions to the boundary value problem are shown to exist with weak constraints on the types of viscosity matrices and constitutive equations for pressure and momentum exchange.

Mamontov A. , Prokudin D.
Steady Solutions to Equations of Viscous Compressible Multifluids
Axioms. 2024. V.13. N6. 362 :1-24. DOI: 10.3390/axioms13060362 WOS РИНЦ OpenAlex

Submitted:	Mar 26, 2024
Accepted:	May 16, 2024
Published print:	May 28, 2024

Web of science:	WOS:001254705600001
Elibrary:	67332111
OpenAlex:	W4399073901

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