Nonlinear Instability in Gravitational Euler-Poisson system for $\gamma={6/5}$

Juhi Jang

arxiv: math/0509073 · v1 · submitted 2005-09-04 · 🧮 math.AP · math-ph· math.MP

Nonlinear Instability in Gravitational Euler-Poisson system for γ={6/5}

Juhi Jang This is my paper

classification 🧮 math.AP math-phmath.MP

keywords gammaeuler-poissoninstabilitynonlinearsystemadiabaticdescribeddynamics

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The dynamics of gaseous stars can be described by the Euler-Poisson system. Inspired by Rein's stability result for $\gamma>{4/3}$, we prove the nonlinear instability of steady states for the adiabatic exponent $\gamma={6/5}$ in spherically symmetric and isentropic motion.

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Nonlinear Instability in Gravitational Euler-Poisson system for γ={6/5}

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