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

@article{Lou2016GeneralPS,
  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},
  year={2016},
  volume={459},
  pages={2014-2029}
}
  • 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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References

SHOWING 1-10 OF 44 REFERENCES
General polytropic dynamic cylinder under self-gravity
We explore self-similar hydrodynamics of general polytropic (GP) and isothermal cylinders of infinite length with axial uniformity and axisymmetry under self-gravity. Specific entropy conservation
New self-similar solutions of polytropic gas dynamics
We explore semicomplete self-similar solutions for the polytropic gas dynamics involving self-gravity under spherical symmetry, examine behaviours of the sonic critical curve and present new
Relativistic self-similar dynamic collapses of black holes in general polytropic spherical clouds
We study the hydrodynamic self-similar mass collapses of general polytropic (GP) spherical clouds to central Schwarzschild black holes and void evolution with or without shocks. In order to grossly
Self-similar dynamics of a relativistically hot gas
In the presence of self-gravity, we investigate the self-similar dynamics of a relativistically hot gas with or without shocks in astrophysical processes of stellar core collapse, formation of
Three-dimensional hydrodynamic instabilities in stellar core collapses
A spherically symmetric hydrodynamic stellar core collapse process under gravity is time-dependent and may become unstable once disturbed. Subsequent non-linear evolutions of such growth of
Gravitational Collapse of Filamentary Magnetized Molecular Clouds
We develop models for the self-similar collapse of magnetized isothermal cylinders. We find solutions for the case of a fluid with a constant toroidal flux-to-mass ratio (Γ = constant) and the case
Protostellar Collapse with a Shock
We reexamine both numerically and analytically the collapse of the singular isothermal sphere in the context of low-mass star formation. We consider the case where the onset of collapse is initiated
Envelope expansion with core collapse – I. Spherical isothermal similarity solutions
We investigate self-similar dynamical processes in an isothermal self-gravitational fluid with spherical symmetry. With reference to the earlier complementary solution results of Larson, Penston,
Linear Gravitational Instability of Filamentary and Sheetlike Molecular Clouds with Magnetic Fields
We study the linear evolution of small perturbations in self-gravitating fluid systems with magnetic fields. We consider wavelike perturbations to nonuniform filamentary and sheetlike hydrostatic
Self-similar collapse of isothermal spheres and star formation.
We consider the problem of the gravitational collapse of isothermal spheres by applying the similarity method to the gas-dynamic flow. We argue that a previous solution obtained by Larson and Penston
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