Time-independent bounds on solutions with shocks to the relativistic Euler equations on conformally flat space–times with curvature singularities
DOI10.1063/1.532669zbMath0931.35178OpenAlexW2068654036MaRDI QIDQ4701586
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532669
initial value problemrelativistic Euler equationsexistence of solutions with shocksuniform bounds on solutions
Shocks and singularities for hyperbolic equations (35L67) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
Cites Work
- Global solutions of the relativistic Euler equations
- Hyperbolic systems of conservation laws II
- The existence of a global weak solution to the non-linear waterhammer problem
- Shocks in Gas Pipelines
- Solutions in the large for nonlinear hyperbolic systems of equations
- Global solution for an initial boundary value problem of a quasilinear hyperbolic system
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