Nonlinear Instability in Gravitational Euler-Poisson system for $\gamma={6/5}$
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
The dynamics of gaseous stars can be described by the Euler-Poisson system. Inspired by Rein's stability result for , we prove the nonlinear instability of steady states for the adiabatic exponent in spherically symmetric and isentropic motion.
Cite
@article{arxiv.math/0509073,
title = {Nonlinear Instability in Gravitational Euler-Poisson system for $\gamma={6/5}$},
author = {Juhi Jang},
journal= {arXiv preprint arXiv:math/0509073},
year = {2007}
}