EXISTENCE AND UNIQUENESS OF SOLUTION OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF THE DYNAMICS OF COMPRESSIBLE VISCOUS MIXTURE

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EXISTENCE AND UNIQUENESS OF SOLUTION OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF THE DYNAMICS OF COMPRESSIBLE VISCOUS MIXTURE. / Nogovishcheva, V. Yu; Prokudin, D. A.

In: Journal of Mathematical Sciences (United States), Vol. 299, No. 2, 10.04.2026, p. 158-179.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{272c46a5a56f460a9a155336f34feb1a,

title = "EXISTENCE AND UNIQUENESS OF SOLUTION OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF THE DYNAMICS OF COMPRESSIBLE VISCOUS MIXTURE",

abstract = "In this paper, we study an initial-boundary value problem for one-dimensional equations of the dynamics of a compressible viscous mixture. We prove a theorem on the existence and uniqueness of a solution to the initial-boundary value problem without any restrictions on the structure of the viscosity matrix other than the standard physical requirements of symmetry and positive definiteness.",

keywords = "Dynamics of a compressible viscous mixture, Existence and uniqueness of a solution, Off-diagonal viscosity matrix, One-dimensional initial-boundary value problem, Динамика сжимаемой вязкой смеси, существование и единственность решения, недиагональная матрица вязкости, одномерная начально-краевая задача",

author = "Nogovishcheva, {V. Yu} and Prokudin, {D. A.}",

note = "Nogovishcheva, V.Y., Prokudin, D.A. EXISTENCE AND UNIQUENESS OF SOLUTION OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF THE DYNAMICS OF COMPRESSIBLE VISCOUS MIXTURE. J Math Sci 299, 158–179 (2026). https://doi.org/10.1007/s10958-026-08412-4 Acknowledgments and funding. The work was carried out with the financial support of the project {"}Modern models of hydrodynamics for problems of nature management, industrial systems and polar mechanics{"} (2024-26) (State assignment FZMW-2024-0003).",

year = "2026",

month = apr,

day = "10",

doi = "10.1007/s10958-026-08412-4",

language = "English",

volume = "299",

pages = "158--179",

journal = "Journal of Mathematical Sciences (United States)",

issn = "1072-3374",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - EXISTENCE AND UNIQUENESS OF SOLUTION OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF THE DYNAMICS OF COMPRESSIBLE VISCOUS MIXTURE

AU - Nogovishcheva, V. Yu

AU - Prokudin, D. A.

N1 - Nogovishcheva, V.Y., Prokudin, D.A. EXISTENCE AND UNIQUENESS OF SOLUTION OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF THE DYNAMICS OF COMPRESSIBLE VISCOUS MIXTURE. J Math Sci 299, 158–179 (2026). https://doi.org/10.1007/s10958-026-08412-4 Acknowledgments and funding. The work was carried out with the financial support of the project "Modern models of hydrodynamics for problems of nature management, industrial systems and polar mechanics" (2024-26) (State assignment FZMW-2024-0003).

PY - 2026/4/10

Y1 - 2026/4/10

N2 - In this paper, we study an initial-boundary value problem for one-dimensional equations of the dynamics of a compressible viscous mixture. We prove a theorem on the existence and uniqueness of a solution to the initial-boundary value problem without any restrictions on the structure of the viscosity matrix other than the standard physical requirements of symmetry and positive definiteness.

AB - In this paper, we study an initial-boundary value problem for one-dimensional equations of the dynamics of a compressible viscous mixture. We prove a theorem on the existence and uniqueness of a solution to the initial-boundary value problem without any restrictions on the structure of the viscosity matrix other than the standard physical requirements of symmetry and positive definiteness.

KW - Dynamics of a compressible viscous mixture

KW - Existence and uniqueness of a solution

KW - Off-diagonal viscosity matrix

KW - One-dimensional initial-boundary value problem

KW - Динамика сжимаемой вязкой смеси

KW - существование и единственность решения

KW - недиагональная матрица вязкости

KW - одномерная начально-краевая задача

UR - https://www.mendeley.com/catalogue/2c796d30-ff84-39e7-8f8e-fbf97f339d93/

UR - https://www.scopus.com/pages/publications/105035445920

U2 - 10.1007/s10958-026-08412-4

DO - 10.1007/s10958-026-08412-4

M3 - Article

VL - 299

SP - 158

EP - 179

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 2

ER -

ID: 83072365