Numerical Study of Singularity Formation in Relativistic Euler Flows
نویسندگان
چکیده
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 andmass concentration. We propose a new hybrid Glimm/centralupwind scheme for relativistic flows. The scheme is used to numerically investigate, for a family of problems, which of the above mechanisms is involved. AMS subject classifications: 35L67, 65M08, 65M25, 76Y05, 83C05, 83C75
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