Non-relativistic global limits of weak solutions of the relativistic Euler equation

DOI10.1215/kjm/1250518065zbMath0939.35154OpenAlexW1502163981MaRDI QIDQ1293339

Seiji Ukai, Lu Min

Publication date: 5 July 2000

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518065

zbMATH Keywords

weak solutionsRiemann problemrelativistic Euler equationsperfect fluidsfinite difference Glimm-type approximationglobal in time convergencetwo-dimensional Minkowski space-time

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (13)

Existence of periodic solutions to an isothermal relativistic Euler system ⋮ Global entropy solutions of the Cauchy problem for nonhomogeneous relativistic Euler system ⋮ Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations ⋮ On the steady state relativistic Euler-Poisson equations ⋮ Asymptotic limits of solutions to the initial boundary value problem for the 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 ⋮ Limits of Riemann solutions to the relativistic Euler systems for Chaplygin gas as pressure vanishes ⋮ Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations ⋮ On the stability of the standard Riemann semigroup ⋮ Non-relativistic limit analysis of the Chandrasekhar–Thorne relativistic Euler equations with physical vacuum ⋮ Newtonian limit for the relativistic Euler-Poisson equations with vacuum ⋮ Nonrelativistic limits for the 1D relativistic Euler equations with physical vacuum

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