Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations

DOI10.1007/s00033-010-0093-0zbMath1273.76455OpenAlexW2008519700MaRDI QIDQ638669

Yongcai Geng, Ya-Chun Li

Publication date: 13 September 2011

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-010-0093-0

zbMATH Keywords

Lorentz factorrelativistic effectsrelativistic Euler equationsrelativity invariantsRiemann solutions

Mathematics Subject Classification ID

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (15)

Development of singularities in the relativistic Euler equations ⋮ Sonic-supersonic solutions for the two dimensional steady relativistic Euler equations ⋮ Semi-hyperbolic patch characterized by 2D steady relativistic Euler equations ⋮ Two dimensional relativistic Euler equations in a convex duct ⋮ On the steady state relativistic Euler-Poisson equations ⋮ Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations ⋮ Global smooth solutions to relativistic Euler-Poisson equations with repulsive force ⋮ On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections ⋮ Global radial solutions to 3D relativistic Euler equations for non-isentropic Chaplygin gases ⋮ Singularity formation for relativistic Euler and Euler-Poisson equations with repulsive force ⋮ Smooth solutions for one-dimensional relativistic radiation hydrodynamic equations ⋮ Sonic-supersonic solutions to a degenerate Cauchy-Goursat problem for 2D relativistic Euler equations ⋮ Non-relativistic limit analysis of the Chandrasekhar–Thorne relativistic Euler equations with physical vacuum ⋮ Nonrelativistic limits for the 1D relativistic Euler equations with physical vacuum ⋮ The special solutions of 2-D steady isentropic irrotational relativistic Euler system

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