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

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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. / Mamontov, A. E.; Prokudin, D. A.

в: Journal of Applied and Industrial Mathematics, Том 17, № 4, 09.2023, стр. 802-814.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{7230481537fd4953bf6a2309d1976e7c,

title = "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",

abstract = "The problem of steady barotropic motion of a multicomponent medium consisting ofviscous compressible fluids in a bounded domain of three-dimensional space is formulated. Theviscosity matrices are assumed to be arbitrary (nondiagonal). The solvability of a regularized(approximate) problem is proved.",

author = "Mamontov, {A. E.} and Prokudin, {D. A.}",

note = "The work was carried out with the financial support of the Mathematical Center in Akademgorodok and the Ministry of Education and Science of the Russian Federation, agreement no. 075-15-2022-282. Публикация для корректировки.",

year = "2023",

month = sep,

doi = "10.1134/s1990478923040105",

language = "English",

volume = "17",

pages = "802--814",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - 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

AU - Mamontov, A. E.

AU - Prokudin, D. A.

N1 - The work was carried out with the financial support of the Mathematical Center in Akademgorodok and the Ministry of Education and Science of the Russian Federation, agreement no. 075-15-2022-282. Публикация для корректировки.

PY - 2023/9

Y1 - 2023/9

N2 - The problem of steady barotropic motion of a multicomponent medium consisting ofviscous compressible fluids in a bounded domain of three-dimensional space is formulated. Theviscosity matrices are assumed to be arbitrary (nondiagonal). The solvability of a regularized(approximate) problem is proved.

AB - The problem of steady barotropic motion of a multicomponent medium consisting ofviscous compressible fluids in a bounded domain of three-dimensional space is formulated. Theviscosity matrices are assumed to be arbitrary (nondiagonal). The solvability of a regularized(approximate) problem is proved.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85185254711&origin=inward&txGid=0cf4404782618e97064b8ae3c3a733d6

UR - https://www.mendeley.com/catalogue/0a379e03-9bfe-3fa7-a3c3-12774198c9a1/

U2 - 10.1134/s1990478923040105

DO - 10.1134/s1990478923040105

M3 - Article

VL - 17

SP - 802

EP - 814

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 4

ER -

ID: 59727900