Global radial solutions to 3D relativistic Euler equations for non-isentropic Chaplygin gases

DOI10.1007/s00208-016-1396-zzbMath1372.35226OpenAlexW2297260735MaRDI QIDQ522633

Zhen Lei, Chang-Hua Wei

Publication date: 18 April 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-016-1396-z

zbMATH Keywords

Euler equationsChaplygin gasrelativistic fluid

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic conservation laws (35L65) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) First-order hyperbolic systems (35L40) Euler equations (35Q31)

Related Items (11)

Completely linear degeneracy for quasilinear hyperbolic systems ⋮ Formation of singularities of solutions to the compressible Euler equations for a Chaplygin gas ⋮ Stabilizing effect of the power law inflation on isentropic relativistic fluids ⋮ Global smooth solutions to the two dimensional compressible Euler equations with the rotational Coriolis forcing ⋮ Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations ⋮ Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state ⋮ Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity ⋮ The lifespan of 3D radial solutions to the non-isentropic relativistic Euler equations ⋮ Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases ⋮ Long-time behaviour of classical solutions to the relativistic Euler equations with logarithmic equation of state ⋮ Global existence of smooth solution to relativistic membrane equation with large data

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