Steady Solutions to Equations of Viscous Compressible Multifluids-Reference-Cited by-同舟云学术

Steady Solutions to Equations of Viscous Compressible Multifluids

Published:2024-05-28 Issue:6 Volume:13 Page:362
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Mamontov Alexander¹²^ORCID,Prokudin Dmitriy¹³^ORCID

Affiliation:

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

Abstract

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.

Funder

Russian Ministry of Science and Higher Education

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/6/362/pdf

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