On the Stabilization of the Solution to the Initial Boundary Value Problem for One-Dimensional Isothermal Equations of Viscous Compressible Multicomponent Media Dynamics Full article
| Journal |
Mathematics
ISSN: 2227-7390 |
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| Output data | Year: 2023, Volume: 11, Number: 14, Article number : 3065, Pages count : 11 DOI: 10.3390/math11143065 | ||
| Tags | viscous compressible medium; multicomponent flows; stabilization of solution; stabilization rate | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Российский научный фонд | 23-21-00381 |
Abstract:
An initial boundary value problem is considered for one-dimensional isothermal equations of the dynamics of viscous compressible multicomponent media, which are a generalization of the Navier–Stokes equations. The stabilization of the solution to the initial boundary value problem is proven while the time tends to infinity, without simplifying assumptions for the structure of the viscosity matrix, except for the standard physical requirements of symmetry and positive definiteness. It is shown that the stabilization of the solution is exponential.
Cite:
Prokudin D.
On the Stabilization of the Solution to the Initial Boundary Value Problem for One-Dimensional Isothermal Equations of Viscous Compressible Multicomponent Media Dynamics
Mathematics. 2023. V.11. N14. 3065 :1-11. DOI: 10.3390/math11143065 WOS Scopus РИНЦ OpenAlex
On the Stabilization of the Solution to the Initial Boundary Value Problem for One-Dimensional Isothermal Equations of Viscous Compressible Multicomponent Media Dynamics
Mathematics. 2023. V.11. N14. 3065 :1-11. DOI: 10.3390/math11143065 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jun 15, 2023 |
| Accepted: | Jul 10, 2023 |
| Published online: | Jul 11, 2023 |
Identifiers:
| Web of science: | WOS:001037616700001 |
| Scopus: | 2-s2.0-85166204101 |
| Elibrary: | 54773740 |
| OpenAlex: | W4384036796 |