Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state

DOI10.1142/S0219891617500187zbMath1378.35234OpenAlexW2755008101WikidataQ115245213 ScholiaQ115245213MaRDI QIDQ4588801

Chang-Hua Wei

Publication date: 2 November 2017

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891617500187

zbMATH Keywords

singularityblowuprelativistic Euler equationslinearly degenerate\(\delta\)-shock

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) First-order hyperbolic systems (35L40) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (5)

Completely linear degeneracy for quasilinear hyperbolic systems ⋮ Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations ⋮ 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

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