Solubility of initial boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids

DOI10.17377/SEMI.2016.13.044zbMath1351.35144MaRDI QIDQ2630526

Dmitriy Alexeyevich Prokudin, Alexander E. Mamontov

Publication date: 28 July 2016

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

zbMATH Keywords

existence theorem polytropic equation of state effective viscous flux homogeneous mixture with multiple velocities viscous compressible fluid unsteady boundary value problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (8)

Existence of weak solutions to the problem on three-dimensional steady heat-conductive motions of compressible viscous multicomponent mixtures ⋮ Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of 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 ⋮ Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids ⋮ 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 ⋮ Local Solvability of Initial-Boundary Value Problem for One-Dimensional Equations of Polytropic Flows of Viscous Compressible Multifluids

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