ON THE EXISTENCE OF STRONG SOLUTIONS TO REGULARIZED EQUATIONS OF VISCOUS COMPRESSIBLE FLUID MIXTURES

DOI10.17223/19988621/64/3zbMath1501.35321OpenAlexW3023090892MaRDI QIDQ5046277

N. A. Kucher, Alexandra Anatolevna Zhalnina, Olga V. Malyshenko

Publication date: 28 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu764

zbMATH Keywords

strong solutioninhomogeneous boundary value problemmixture of viscous compressible fluids

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Three or more component flows (76T30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Cites Work

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• On quasi-stationary models of mixtures of compressible fluids.
• A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum.
• Uniform estimates and stabilization of solutions to equations of one-dimensional motion of a multicomponent barotropic mixture
• Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids
• On a Stokes-Like System for Mixtures of Fluids

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