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Unique solvability of the initial-boundary value problem for one-dimensional equations of the dynamics of compressible viscous multicomponent media. / Nogovishcheva, Victoria Yurievna; Prokudin, Dmitriy Alexeyevich.

в: Siberian Electronic Mathematical Reports, Том 22, № 2, 15.09.2025, стр. 933-960.

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

Harvard

Nogovishcheva, VY & Prokudin, DA 2025, 'Unique solvability of the initial-boundary value problem for one-dimensional equations of the dynamics of compressible viscous multicomponent media', Siberian Electronic Mathematical Reports, Том. 22, № 2, стр. 933-960. https://doi.org/10.33048/semi.2025.22.060

APA

Nogovishcheva, V. Y., & Prokudin, D. A. (2025). Unique solvability of the initial-boundary value problem for one-dimensional equations of the dynamics of compressible viscous multicomponent media. Siberian Electronic Mathematical Reports, 22(2), 933-960. https://doi.org/10.33048/semi.2025.22.060

Vancouver

Nogovishcheva VY, Prokudin DA. Unique solvability of the initial-boundary value problem for one-dimensional equations of the dynamics of compressible viscous multicomponent media. Siberian Electronic Mathematical Reports. 2025 сент. 15;22(2):933-960. doi: 10.33048/semi.2025.22.060

Author

Nogovishcheva, Victoria Yurievna ; Prokudin, Dmitriy Alexeyevich. / Unique solvability of the initial-boundary value problem for one-dimensional equations of the dynamics of compressible viscous multicomponent media. в: Siberian Electronic Mathematical Reports. 2025 ; Том 22, № 2. стр. 933-960.

BibTeX

@article{00ab1b9a521042ce8a7adf9822ff6965,
title = "Unique solvability of the initial-boundary value problem for one-dimensional equations of the dynamics of compressible viscous multicomponent media",
abstract = "An initial boundary value problem for one-dimensional equations of the dynamics of compressible viscous multicomponent media in the isothermal case is considered. A theorem of the existence and uniqueness of a strong solution to the problem is proved without restrictions on the structure of the viscosity matrix, except for the standard requirements of symmetry and positive certainty.",
keywords = "compressible viscous fluid, existence and uniqueness theorem, multicomponent flow, unsteady initial boundary value problem",
author = "Nogovishcheva, {Victoria Yurievna} and Prokudin, {Dmitriy Alexeyevich}",
note = "Ноговищева В.Ю., Прокудин Д.А. Однозначная разрешимость начально-краевой задачи для одномерных уравнений динамики сжимаемой вязкой многокомпонентной среды // Сибирские электронные математические известия. - 2025. - Т. 22. - № 2. - С. 933-960. Работа выполнена при поддержке Математического Центра в Академгородке, соглашение № 075-15-2025-349 с Министерством науки и высшего образования Российской Федерации.",
year = "2025",
month = sep,
day = "15",
doi = "10.33048/semi.2025.22.060",
language = "English",
volume = "22",
pages = "933--960",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - Unique solvability of the initial-boundary value problem for one-dimensional equations of the dynamics of compressible viscous multicomponent media

AU - Nogovishcheva, Victoria Yurievna

AU - Prokudin, Dmitriy Alexeyevich

N1 - Ноговищева В.Ю., Прокудин Д.А. Однозначная разрешимость начально-краевой задачи для одномерных уравнений динамики сжимаемой вязкой многокомпонентной среды // Сибирские электронные математические известия. - 2025. - Т. 22. - № 2. - С. 933-960. Работа выполнена при поддержке Математического Центра в Академгородке, соглашение № 075-15-2025-349 с Министерством науки и высшего образования Российской Федерации.

PY - 2025/9/15

Y1 - 2025/9/15

N2 - An initial boundary value problem for one-dimensional equations of the dynamics of compressible viscous multicomponent media in the isothermal case is considered. A theorem of the existence and uniqueness of a strong solution to the problem is proved without restrictions on the structure of the viscosity matrix, except for the standard requirements of symmetry and positive certainty.

AB - An initial boundary value problem for one-dimensional equations of the dynamics of compressible viscous multicomponent media in the isothermal case is considered. A theorem of the existence and uniqueness of a strong solution to the problem is proved without restrictions on the structure of the viscosity matrix, except for the standard requirements of symmetry and positive certainty.

KW - compressible viscous fluid

KW - existence and uniqueness theorem

KW - multicomponent flow

KW - unsteady initial boundary value problem

UR - https://www.scopus.com/pages/publications/105022058705

UR - https://www.mendeley.com/catalogue/348e212b-d8d7-37e3-86e2-63ff802bf6b5/

U2 - 10.33048/semi.2025.22.060

DO - 10.33048/semi.2025.22.060

M3 - Article

VL - 22

SP - 933

EP - 960

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

ER -

ID: 72669760