Analytical Blowup Solutions to the 3-dimensional Pressureless Navier-Stokes-Poisson Equations with Density-dependent Viscosity
Abstract
We study the pressureless Navier--Stokes-Poisson equations of describing the evolution of the gaseous star in astrophysics. The isothermal blowup solutions of Yuen, to the Euler-Poisson equations in R2, can be extended to the pressureless Navier-Stokes-Poisson equations with density-dependent viscosity in R3. Besides some remarks, about the meaning of the blowup solutions and the applicability of such solutions to the the drift-diffusion model in semiconductors, are discussed in the end.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2008
- DOI:
- 10.48550/arXiv.0811.0379
- arXiv:
- arXiv:0811.0379
- Bibcode:
- 2008arXiv0811.0379Y
- Keywords:
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- Astrophysics;
- Mathematical Physics
- E-Print:
- 10 pages