Initial-boundary value problem for one-dimensional equations of barotropic flows of mixtures of compressible viscous fluids

Initial-boundary value problem for one-dimensional equations of barotropic flows of mixtures of compressible viscous fluids Full article

Journal

Discrete and Continuous Dynamical Systems - Series S
ISSN: 1937-1632

Output data

Year: 2026, DOI: 10.3934/dcdss.2026190

Tags

Existence and uniqueness theorem, non-stationary boundary value problem, compressible viscous fluid, homogeneous multi-velocity mixture.

Authors

Mamontov A. ¹ , Prokudin D. ¹

Affiliations

1	Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences

We consider equations describing one-dimensional non-stationary barotropic motions of mixtures of compressible viscous fluids within the framework of a multi-velocity approach. A theorem on the existence and uniqueness of a strong solution to the initial-boundary value problem corresponding to flows in a bounded domain is proved.

Mamontov A. , Prokudin D.
Initial-boundary value problem for one-dimensional equations of barotropic flows of mixtures of compressible viscous fluids
Discrete and Continuous Dynamical Systems - Series S. 2026. DOI: 10.3934/dcdss.2026190 WOS OpenAlex

Submitted:	Jun 8, 2026
Published online:	Jul 27, 2026

≡ Web of science:	WOS:001834858700001
≡ OpenAlex:	W7171434599