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Numerical Study of Singularity Formation in Relativistic Euler Flows

  • Pierre A. Gremaud (a1) and Yi Sun (a2)


The formation of singularities in relativistic flows is not well understood. Smooth solutions to the relativistic Euler equations are known to have a finite lifespan; the possible breakdown mechanisms are shock formation, violation of the subluminal conditions and mass concentration. We propose a new hybrid Glimm/central-upwind scheme for relativistic flows. The scheme is used to numerically investigate, for a family of problems, which of the above mechanisms is involved.


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Numerical Study of Singularity Formation in Relativistic Euler Flows

  • Pierre A. Gremaud (a1) and Yi Sun (a2)


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