A NONLINEAR PARABOLIC APPROXIMATION OF THE EULER EQUATIONS FOR ISOTHERMAL GAS FLOWS

DOI10.1142/S0219891608001660zbMath1173.35081OpenAlexW2059044984MaRDI QIDQ3605774

Vladimir Shelukhin, Cezar I. Kondo

Publication date: 24 February 2009

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891608001660

zbMATH Keywords

entropy solutioncompensated compactnessentropy quasisolution

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

• Convergence of the viscosity method for isentropic gas dynamics
• Existence theorem in the variational problem for compressible inviscid fluids
• Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
• Existence theory for the isentropic Euler equations
• Compressible Euler equations with general pressure law
• Kinetic formulation for systems of two conservation laws and elastodynamics
• Symmetries and global solvability of the isothermal gas dynamics equations
• A Quasi-linear Parabolic System for Three-Phase Capillary Flow in Porous Media
• Convergence of Viscosity Solutions for Isothermal Gas Dynamics
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