Stabilities for Euler-Poisson Equations with Repulsive Forces in R^N

Details Stabilities for Euler-Poisson Equations with Repulsive Forces in R^N Stabilities for Euler-Poisson Equations with Repulsive Forces in R^N

2010-01-03

arxiv.org/abs/1001.0385v1

Mathematics

Analysis of PDEs

Key Words: Euler-Poisson Equations, Repulsive Forces, Stabilities, Frictional Damping, Second Inertia Function, Non-collapsing

Scientific paper

This article extends the previous paper in "M.W. Yuen, \textit{Stabilities for Euler-Poisson Equations in Some Special Dimensions}, J. Math. Anal. Appl. \textbf{344} (2008), no. 1, 145--156.", from the Euler-Poisson equations for attractive forces to the repulsive ones in $R^{N}$ $(N\geq2)$. The similar stabilities of the system are studied. Additionally, we explain that it is impossible to have the density collapsing solutions with compact support to the system with repulsive forces for $\gamma>1$.

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