Stabilities for Euler-Poisson equations with repulsive forces in Rᴺ

Research output: Contribution to journalArticlespeer-review

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 languageEnglish
Pages (from-to)2787-2795
JournalInternational Journal of Mathematical Analysis
Volume7
Issue number56
DOIs
Publication statusPublished - 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

Fingerprint Dive into the research topics of 'Stabilities for Euler-Poisson equations with repulsive forces in Rᴺ'. Together they form a unique fingerprint.