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On nonlinear instability of liquid Lane-Emden stars (2304.06217v1)
Published 13 Apr 2023 in math.AP
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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