On the stabilization of solutions to the initial-boundary value problem for the equations of dynamics of viscous compressible multicomponent media

DOI10.33048/semi.2021.18.097zbMath1479.35693OpenAlexW4206030051MaRDI QIDQ2058335

Dmitriy Alexeyevich Prokudin

Publication date: 8 December 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.097

zbMATH Keywords

stabilization of solutioncompressible viscous mediummulticomponent fows

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Three or more component flows (76T30) Compressible fluids and gas dynamics (76N99)

Cites Work

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• Recent progress in the mathematical theory of 1D barotropic flow
• Global behavior of 1d-viscous compressible barotropic fluid with a free boundary and large data
• Global properties of solutions to 1D-viscous compressible barotropic fluid equations with density dependent viscosity
• Uniform estimates and stabilization of solutions to equations of one-dimensional motion of a multicomponent barotropic mixture
• Solvability of the boundary-value problem for equations of one-dimensional motion of a two-phase mixture
• Stabilization rate and stability for viscous compressible barotropic symmetric flows with free boundary for a general mass force
• Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations

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