Stabilities for Euler-Poisson equations in some special dimensions

We study the stabilities and classical solutions of Euler-Poisson equations describing the evolution of the gaseous star in astrophysics. In fact, we extend the study of 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 , for any γ.