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

Manwai Yuen

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arXiv · 0811.3756

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

Manwai Yuen

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Abstract

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

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Manwai Yuen. 2008-11-24. Analytical Collapsing Solutions to Pressureless Navier-Stokes-Poisson Equations with Density-dependent Viscosity $θ=1/2$ in $R^{2}$. https://arxiv.org/abs/0811.3756

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