Blow-up of Smooth Solutions to the Euler-Poisson Equations

Abstract

In this paper, the finite time blow-up of smooth solutions to the Cauchy problem for full Euler-Poisson equations and isentropic Euler-Poisson equations with repulsive forces or attractive forces in high dimensions $(n\ge 3)$ is proved for a large class of initial data. It is not required that the initial data has compact support or contains vacuum in any finite regions.

References in corpus (5)

• Non-linear stability of gaseous stars
• Existence and Nonlinear Stability of Rotating Star Solutions of the Compressible Euler-Poisson Equations
• Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars
• Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars
• Remarks on Blow-up of Smooth Solutions to the Compressible Fluid with Constant and Degenerate Viscosities