A new family of exact and rotating solutions of fireball hydrodynamics
arXiv:1309.4390 · doi:10.1103/PhysRevC.89.044901
Abstract
A new class of analytic, exact, rotating, self-similar and surprisingly simple solutions of non-relativistic hydrodynamics are presented for a three-dimensionally expanding, spheroidally symmetric fireball. These results generalize earlier, non-rotating solutions for ellipsoidally symmetric fireballs with directional, three-dimensional Hubble flows. The solutions are presented for a general class of equations of state that includes the lattice QCD equations of state and may feature inhomogeneous temperature and corresponding density profiles.
Dedicated to T. Kodama on the occasion of his 70th birthday. 15 pages, no figures. Accepted for publication at Phys. Rev. C. Minor rewritings from previous version
References in corpus (9)
- Landau Hydrodynamics Reexamined
- Unified description of Bjorken and Landau 1+1 hydrodynamics
- A New Family of Simple Solutions of Perfect Fluid Hydrodynamics
- Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics
- Entropy flow of a perfect fluid in (1+1) hydrodynamics
- Exact solutions of relativistic perfect fluid hydrodynamics for a QCD equation of state
- Exact (1+1)-dimensional flows of a perfect fluid
- New exact solutions of relativistic hydrodynamics
- Exact Relativistic Ideal Hydrodynamical Solutions in (1+3)D with Longitudinal and Transverse Flows
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