Dependence of entropy solutions in the large for the Euler equations on nonlinear flux functions

DOI10.1512/iumj.2007.56.3063zbMath1133.35066OpenAlexW2092602051WikidataQ60117464 ScholiaQ60117464MaRDI QIDQ5428027

Yongqian Zhang, Gui-Qiang G. Chen, Cleopatra C. Christoforou

Publication date: 27 November 2007

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2007.56.3063

zbMATH Keywords

dependence on parametersone spatial variable

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Special relativity (83A05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Initial value problems for first-order hyperbolic systems (35L45)

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Convergence rate of hypersonic similarity for steady potential flows over two-dimensional Lipschitz wedge ⋮ Isothermal Limit of Entropy Solutions of the Euler Equations for Isentropic Gas Dynamics ⋮ Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations ⋮ Continuous dependence of entropy solutions to the Euler equations on the adiabatic exponent and Mach number ⋮ Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws ⋮ Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations ⋮ Front tracking for a model of immiscible gas flow with large data

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