Abstract
We study some particular solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure, in radial symmetry. With an extension of the previous known blow-up solutions for the Euler-Poisson equations with pressureless Navier-Stokes-Poisson density-dependent viscosity, we constructed the corresponding self-similar blow-up solutions for the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure. Our solutions can provide concrete examples for testing the validation and stabilities of numerical methods for the systems. Copyright © 2011 American Mathematical Society.
| Original language | English |
|---|---|
| Pages (from-to) | 3951-3960 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 139 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Nov 2011 |
Keywords
- Fluids
- Navier-Stokes-Poisson equations
- Density-dependent viscosity
- With pressure
- Blowup
- Free boundary
- Self-similar solutions
- Global solutions
- Gaseous stars
- Semi-conductor models
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