The ultra‐relativistic Euler equations

DOI10.1002/mma.3141zbMath1319.35170OpenAlexW2084172800MaRDI QIDQ5259830

Mahmoud A. E. Abdelrahman, Matthias Kunik

Publication date: 29 June 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3141

zbMATH Keywords

conservation lawsshock wavesentropy conditionsLorentz transformationsrarefaction waveshyperbolic systemrelativistic Euler equationsRiemann solutions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Initial value problems for first-order hyperbolic systems (35L45) Euler equations (35Q31)

Related Items (11)

A new variation for the relativistic Euler equations ⋮ New solutions for the unstable nonlinear Schrödinger equation arising in natural science ⋮ Numerical investigation of the wave-front tracking algorithm for the full ultra-relativistic Euler equations ⋮ Exact solutions of (2 + 1)‐dimensional Schrödinger's hyperbolic equation using different techniques ⋮ Simulating the dusty gas flow model via NHRS scheme ⋮ The deterministic and stochastic solutions of the NLEEs in mathematical physics ⋮ The interaction of waves for the ultra-relativistic Euler equations ⋮ Fundamental solutions for the generalised third-order nonlinear Schrödinger equation ⋮ The modified Rusanov scheme for solving the ultra-relativistic Euler equations ⋮ The deterministic and stochastic solutions for the nonlinear Phi-4 equation ⋮ Global solutions for the ultra-relativistic Euler equations

Cites Work

• Initial and boundary value problems of hyperbolic heat conduction
• Global solutions of the relativistic Euler equations
• Kinetic schemes for the ultra-relativistic Euler equations.
• Hyperbolic systems of conservation laws II
• Conservation laws for the relativistic P-system
• Discontinuous solutions of non-linear differential equations
• Unnamed Item

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