Local Solvability of Initial-Boundary Value Problem for One-Dimensional Equations of Polytropic Flows of Viscous Compressible Multifluids

DOI10.1007/s10958-018-3818-9zbMath1438.76030OpenAlexW2800697379WikidataQ129914039 ScholiaQ129914039MaRDI QIDQ5230724

Alexander E. Mamontov, Dmitriy Alexeyevich Prokudin

Publication date: 28 August 2019

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3818-9

zbMATH Keywords

uniqueness theorem existence theorem viscous gas homogeneous multivelocity mixture

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Theoretical approximation in context of PDEs (35A35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)

Related Items (5)

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 ⋮ Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting 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

Cites Work

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