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arXiv · 2304.06217

On nonlinear instability of liquid Lane-Emden stars

Zeming Hao·Shuang Miao
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Abstract

We establish a dynamical nonlinear instability of liquid Lane-Emden stars in $\mathbb{R}^{3}$ whose adiabatic exponents take values in $[1,\frac43)$. Our proof relies on a priori estimates for the free boundary problem of a compressible self-gravitating liquid, as well as a quantitative analysis of the competition between the fastest linear growing mode and the source.

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Zeming Hao, Shuang Miao. 2023-04-13. On nonlinear instability of liquid Lane-Emden stars. https://arxiv.org/abs/2304.06217

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