Existence of periodic solutions to an isothermal relativistic Euler system

DOI10.1007/s10473-022-0108-xOpenAlexW3196224915MaRDI QIDQ2156671

Fei Wu, Zejun Wang

Publication date: 20 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-022-0108-x

zbMATH Keywords

periodicityRiemann problemBV spaceglimm schemeisothermal relativistic Euler system

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Shocks and related discontinuities in solid mechanics (74J40) Hyperbolic conservation laws (35L65) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

The emergence of delta shock in the limit process for two‐dimensional steady nonisentropic relativistic Euler flow onto a straight wedge

Cites Work

• Existence in the large for quasilinear hyperbolic conservation laws
• Global stability of solutions with discontinuous initial data containing vacuum states for the relativistic Euler equations
• Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations
• Global entropy solutions of the Cauchy problem for nonhomogeneous relativistic Euler system
• Periodic solutions to \(p\)-system constructed through Glimm scheme
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• Global solutions of the relativistic Euler equations
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• Relativistic Euler equations for isentropic fluids: stability of Riemann solutions with large oscillation
• Existence of global smooth solution to the relativistic Euler equations
• Spatially periodic solutions in relativistic isentropic gas dynamics
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• Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
• Local smooth solutions of the relativistic Euler equation. II
• Periodic solutions of conservation laws constructed through Glimm scheme
• Large BV solutions to the compressible isothermal Euler–Poisson equations with spherical symmetry
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Global solutions to a class of nonlinear hyperbolic systems of equations
• Solutions in the large for some nonlinear hyperbolic conservation laws
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