Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations

DOI10.1007/s11401-014-0820-5zbMath1343.35228OpenAlexW2031366888MaRDI QIDQ2448476

Yongcai Geng, Ya-Chun Li

Publication date: 30 April 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-014-0820-5

zbMATH Keywords

strictly convex entropygeneralized Riemann invariantsisentropic relativistic Euler equationslocal-in-time smooth solutions

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Special relativity (83A05) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31)

Related Items (11)

Blowup of regular solutions for the relativistic Euler-Poisson equations ⋮ A note on blowup of smooth solutions for relativistic Euler equations with infinite initial energy ⋮ Formation of singularities for the relativistic Euler equations ⋮ Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations ⋮ Long-time behaviours of classical solutions to relativistic Euler-Poisson equations ⋮ Well and ill-posedness of free boundary problems to relativistic Euler equations ⋮ Two dimensional relativistic Euler equations in a convex duct ⋮ Global smooth solutions to relativistic Euler-Poisson equations with repulsive force ⋮ Singularity formation for relativistic Euler and Euler-Poisson equations with repulsive force ⋮ Well-posedness of non-isentropic Euler equations with physical vacuum ⋮ Long-time behaviour of classical solutions to the relativistic Euler equations with logarithmic equation of state

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