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Analytical Solutions to the Navier-Stokes-Poisson Equations with Density-dependent Viscosity and with Pressure

Mathematical Physics 2011-07-29 v1 math.MP

Abstract

We study some particular solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure, in radial symmetry. With extension of the previous known blowup solutions for the Euler-Poisson equations / pressureless Navier-Stokes-Poisson with density-dependent viscosity, we constructed the corresponding analytical blowup solutions for the Navier-Stokes-Poisson Equations with density-dependent viscosity and with pressure.

Keywords

Cite

@article{arxiv.1005.0729,
  title  = {Analytical Solutions to the Navier-Stokes-Poisson Equations with Density-dependent Viscosity and with Pressure},
  author = {Yeung Ling Hei and Yuen Manwai},
  journal= {arXiv preprint arXiv:1005.0729},
  year   = {2011}
}

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12 pages