Stabilities for Euler-Poisson Equations in Some Special Dimensions

Details Stabilities for Euler-Poisson Equations in Some Special Dimensions Stabilities for Euler-Poisson Equations in Some Special Dimensions

2009-07-05

arxiv.org/abs/0907.0873v1

J.Math.Anal.Appl.344:145-156,2008

Mathematics

Analysis of PDEs

15 pages

Scientific paper

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

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