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arXiv · 0907.0873

Stabilities for Euler-Poisson Equations in Some Special Dimensions

Manwai Yuen
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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 $2\int_Ω(ρ| u| ^{2}+2P)dx<gM^{2}-ε$, for any $γ$.

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Manwai Yuen. 2009-07-05. Stabilities for Euler-Poisson Equations in Some Special Dimensions. https://arxiv.org/abs/0907.0873

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