General polytropic self-gravitating cylinder free-fall and accreting mass string with a chain of collapsed objects

  title={General polytropic self-gravitating cylinder free-fall and accreting mass string with a chain of collapsed objects},
  author={Yu-qing Lou and Xuyao Hu},
  journal={Monthly Notices of the Royal Astronomical Society},
  • Y. Lou, Xuyao Hu
  • Published 21 June 2016
  • Physics
  • Monthly Notices of the Royal Astronomical Society
We present a theoretical model framework for general polytropic (GP) hydrodynamic cylinder under self-gravity of infinite length with axial uniformity and axisymmetry. For self-similar dynamic solutions, we derive valuable integrals, analytic asymptotic solutions, sonic critical curves, shock conditions, and global numerical solutions with or without expansion shocks. Among others, we investigate various dynamic solutions featured with central free-fall asymptotic behaviours, corresponding to a… 
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