Existence and uniqueness of solution of the initial-boundary value problem for one-dimensional equations of the dynamics of compressible viscous mixture

Existence and uniqueness of solution of the initial-boundary value problem for one-dimensional equations of the dynamics of compressible viscous mixture Full article

Journal

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374

Output data

Year: 2026, Volume: 299, Pages: 158-179 Pages count : 22 DOI: 10.1007/s10958-026-08412-4

Tags

Dynamics of a compressible viscous mixture, One-dimensional initial-boundary value problem, Off-diagonal viscosity matrix, Existence and uniqueness of a solution

Authors

V. Yu. Nogovishcheva ¹ , D. A. Prokudin ^2,3

Affiliations

1	Novosibirsk State University
2	Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences
3	Altai State University

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.

V. Yu. Nogovishcheva , D. A. Prokudin
Existence and uniqueness of solution of the initial-boundary value problem for one-dimensional equations of the dynamics of compressible viscous mixture
Journal of Mathematical Sciences (United States). 2026. V.299. P.158-179. DOI: 10.1007/s10958-026-08412-4

Published print:

Apr 10, 2026

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