Unique solvability of initial-boundary value problem for a model system of equations for the polytropic motion of a mixture of viscous compressible fluids

DOI10.17377/semi.2017.14.049zbMath1375.35007MaRDI QIDQ1685354

Dmitriy Alexeyevich Prokudin

Publication date: 13 December 2017

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

zbMATH Keywords

existence and uniqueness theoremviscous compressible fluidmixture with multiple velocitiesunsteady initial boundary value problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures 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

Cites Work

• Viscous compressible multi-fluids: modeling and multi-D existence
• Solvability of the regularized steady problem of the spatial motions of multicomponent viscous compressible fluids
• Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids
• Existence of weak solutions to the three-dimensional problem of steady barotropic motions of mixtures of viscous compressible fluids
• Solubility of steady boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids
• Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory
• Solubility of initial boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids
• Solvability of a stationary boundary value problem for a model system of the equations of barotropic motion of a mixture of compressible viscous fluids
• Solubility of a stationary boundary-value problem for the equations of motion of a one-temperature mixture of viscous compressible heat-conducting fluids
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