Stabilities for Euler-Poisson Equations in Some Special Dimensions

Abstract

We study the stabilities and classical solutions of Euler-Poisson equations of describing the evolution of the gaseous star in astrophysics. In fact, we extend the study the stabilities of Euler-Poisson equations with or without frictional damping term to some special dimensional spaces. Besides, by using the second inertia function in 2 dimension of Euler-Poisson equations, we prove the non-global existence of classical solutions with $2{\int }_{\Omega }(\rho |u{|}^2+2P)dx<g{M}^2-\epsilon$, for any $\gamma$.

15 pages

References in corpus (1)

• Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars