Existence of Solutions of the Boundary Value Problem for the Equations of Barotropic Flows of a Multicomponent Medium. I. Statement of the Main Problem. Solvability of an Auxiliary Problem

Existence of Solutions of the Boundary Value Problem for the Equations of Barotropic Flows of a Multicomponent Medium. I. Statement of the Main Problem. Solvability of an Auxiliary Problem Full article

Journal

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789

Output data

Year: 2023, Volume: 17, Number: 4, Pages: 802-814 Pages count : 13 DOI: 10.1134/s1990478923040105

Authors

Mamontov A.E. ^1,2 , Prokudin D.A. ³

Affiliations

1	Lavrentyev Institute of Hydrodynamics
2	Федеральное государственное бюджетное образовательное учреждение высшего образования «Сибирский государственный университет телекоммуникаций и информатики»
3	Novosibirsk State University

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 viscosity matrices are assumed to be arbitrary (nondiagonal). The solvability of a regularized (approximate) problem is proved.

Mamontov A.E. , Prokudin D.A.
Existence of Solutions of the Boundary Value Problem for the Equations of Barotropic Flows of a Multicomponent Medium. I. Statement of the Main Problem. Solvability of an Auxiliary Problem
Journal of Applied and Industrial Mathematics. 2023. V.17. N4. P.802-814. DOI: 10.1134/s1990478923040105 Scopus РИНЦ OpenAlex

Submitted:	Aug 30, 2022
Accepted:	Nov 1, 2023
Published print:	Feb 16, 2024

Scopus:	2-s2.0-85185254711
Elibrary:	65167460
OpenAlex:	W4391901767

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