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

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

2010-05-05

arxiv.org/abs/1005.0729v1

Proc. Amer. Math. Soc. 139 (2011), 3951-3960

Physics

Mathematical Physics

12 pages

Scientific paper

10.1090/S0002-9939-2011-11048-7

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.

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