GLOBAL SOLUTIONS TO THE COMPRESSIBLE EULER EQUATIONS WITH GRAVITATIONAL SOURCE

DOI10.1142/S0219891608001507zbMath1156.35060MaRDI QIDQ3520500

Naoki Tsuge

Publication date: 26 August 2008

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

zbMATH Keywords

Dirichlet boundary conditionsdifference schemespherical symmetrycompensated compactness\(L^\infty\) estimatesmodified Godunov scheme

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Global weak entropy solutions to the Euler–Poisson system with spherical symmetry ⋮ LARGE TIME DECAY OF SOLUTIONS TO ISENTROPIC GAS DYNAMICS WITH SPHERICAL SYMMETRY

Cites Work

• Unnamed Item
• Convergence of the viscosity method for isentropic gas dynamics
• Convergence of approximate solutions to conservation laws
• The global weak solutions of compressible Euler equation with spherical symmetry
• Initial boundary value problem for the spherically symmetric motion of isentropic gas
• Global weak solutions of the compressible Euler equation with spherical symmetry. II
• Spherically symmetric solutions to the compressible Euler equation with an asymptotic \(\gamma\)-law
• Compressible Euler equations with general pressure law
• Spherically symmetric flow of the compressible Euler equations -- for the case including the origin
• Global solutions to the compressible Euler equations with geometrical structure
• Global \(L^{\infty}\) solutions of the compressible Euler equations with spherical symmetry
• Remarks on spherically symmetric solutions of the compressible Euler equations

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