Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids

DOI10.33048/semi.2021.18.071zbMath1487.35321OpenAlexW3199686158MaRDI QIDQ2234422

Alexander E. Mamontov, Dmitriy Alexeyevich Prokudin

Publication date: 19 October 2021

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

Full work available at URL: https://doi.org/10.33048/semi.2021.18.071

zbMATH Keywords

Galerkin methodexistence theoremmulticomponent viscous perfect gas

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Three or more component flows (76T30) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65)

Cites Work

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• Solvability in the large of a system of equations of the one- dimensional motion of an inhomogeneous viscous heat-conducting gas
• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• On stability of generalized solutions to the equations of one-dimensional motion of a viscous heat conducting gas
• Semidiscrete method for solving equations of a one-dimensional motion of viscous heat-conductive gas with non-smooth data
• Justification of quasi-averaging of equations of one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating properties
• Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids

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