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Analytical Collapsing Solutions to Pressureless Navier-Stokes-Poisson Equations with Density-dependent Viscosity $\theta=1/2$ in $R^{2}$

Astrophysics 2008-11-25 v1 Mathematical Physics math.MP

Abstract

We study the 2-dimensional Navier-Stokes-Poisson equations with density-dependent viscosity θ=1/2\theta=1/2 without pressure of gaseous stars in astrophysics. The analytical solutions with collapsing in radial symmetry, are constructed in this paper.

Keywords

Cite

@article{arxiv.0811.3756,
  title  = {Analytical Collapsing Solutions to Pressureless Navier-Stokes-Poisson Equations with Density-dependent Viscosity $\theta=1/2$ in $R^{2}$},
  author = {Manwai Yuen},
  journal= {arXiv preprint arXiv:0811.3756},
  year   = {2008}
}

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8 pages