Analytical Blowup Solutions to the Pressureless Navier-Stokes-Poisson Equations with Density-dependent Viscosity in R^N
arXiv:0811.4383 · doi:10.1088/0951-7715/22/9/010
Abstract
We study the N-dimensional pressureless Navier--Stokes-Poisson equations with density-dependent viscosity. With the extension of the blowup solutions for the Euler-Poisson equations, the analytical blowup solutions,in radial symmetry, in R^N are constructed.
12 Pages, more detail in the introduction to explain the validity of the model
References in corpus (2)
Cited by in corpus (7)
- Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars
- Perturbational Blowup Solutions to the 1-dimensional Compressible Euler Equations
- Some Exact Blowup Solutions to the Pressureless Euler Equations in R^N
- Periodic Solutions of 2D Isothermal Euler-Poisson Equations with Possible Applications to Spiral and Disk-like Galaxies
- Analytical Solutions to the Navier-Stokes-Poisson Equations with Density-dependent Viscosity and with Pressure
- Perturbational Blowup Solutions to the 2-Component Camassa-Holm Equations
- Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars II