Solvability of the regularized steady problem of the spatial motions of multicomponent viscous compressible fluids

DOI10.1134/S0037446616060112zbMath1361.35148OpenAlexW2563970332MaRDI QIDQ515494

Dmitriy Alexeyevich Prokudin, Alexander E. Mamontov

Publication date: 16 March 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616060112

zbMATH Keywords

existence theoremsteady boundary value problemhomogeneous mixture with multiple velocitiesviscous compressible fluid

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)

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Existence of weak solutions to the problem on three-dimensional steady heat-conductive motions of compressible viscous multicomponent mixtures, Existence of weak solutions to the three-dimensional problem of steady barotropic motions of mixtures of viscous compressible fluids, Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids, Solubility of unsteady equations of multi-component viscous compressible fluids, Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory, Unique solvability of initial-boundary value problem for a model system of equations for the polytropic motion of a mixture of viscous compressible fluids, Homogenization of the equations of filtration of a viscous fluid in two porous media, Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids, Solvability of the regularized steady problem of the spatial motions of multicomponent viscous compressible fluids, Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible heat-conductive multifluid, Unique solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of multicomponent viscous compressible fluids

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