Abstract
This article extends the previous paper (M.W. Yuen, Stabilities for Euler-Poisson Equations in Some Special Dimensions, J. Math. Anal. Appl. 344(2008), 145–156) from the Euler-Poisson equations for at-tractive forces to the repulsive ones in Rᴺ (N≥2). The similar stabilities of the system are studied. We also explain that it is impossible to have density collapsing solutions with compact support from classical solutions for a system with repulsive forces for ƴ>1. Copyright
© 2013 Manwai Yuen.
Original language | English |
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Pages (from-to) | 2787-2795 |
Journal | International Journal of Mathematical Analysis |
Volume | 7 |
Issue number | 56 |
DOIs | |
Publication status | Published - 2013 |
Citation
Yuen, M. (2013). Stabilities for Euler-Poisson equations with repulsive forces in Rᴺ. International Journal of Mathematical Analysis, 7(56), 2787-2795.Keywords
- Euler-Poisson equations
- Repulsive forces
- Stabilities
- Frictional damping
- Second inertia function
- Non-collapsing solutions