Unique solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of multicomponent viscous compressible fluids

DOI10.17377/semi.2018.15.050zbMath1428.35387MaRDI QIDQ2285194

Dmitriy Alexeyevich Prokudin, Alexander E. Mamontov

Publication date: 16 January 2020

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

zbMATH Keywords

existenceinitial-boundary value problemuniquenessmultifluidunsteady motionviscous compressible fluidmixture of fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Viscous compressible multi-fluids: modeling and multi-D existence
• Solvability of the regularized steady problem of the spatial motions of multicomponent viscous compressible fluids
• 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.
• Unique solvability of initial-boundary value problem for a model system of equations for the polytropic motion of a mixture of viscous compressible 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 unsteady equations of multi-component viscous compressible fluids
• Local Solvability of Initial-Boundary Value Problem for One-Dimensional Equations of Polytropic Flows of Viscous Compressible Multifluids
• On a Stokes-Like System for Mixtures of Fluids
• Solubility of a stationary boundary-value problem for the equations of motion of a one-temperature mixture of viscous compressible heat-conducting fluids

This page was built for publication: Unique solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of multicomponent viscous compressible fluids