论液态 Lane-Emden 星的非线性不稳定性

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-06-28 DOI:10.1007/s00526-024-02761-1

Zeming Hao, Shuang Miao

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引用次数: 0

摘要

我们建立了液体Lane-Emden星在\({\mathbb {R}}^{3}\) 中的动力学非线性不稳定性，其绝热指数取值于\([1,\frac{4}{3})\)。我们的证明依赖于对可压缩自重力液体自由边界问题的先验估计，以及对最快线性增长模式与源之间竞争的定量分析。

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On nonlinear instability of liquid Lane–Emden stars

We establish a dynamical nonlinear instability of liquid Lane–Emden stars in \({\mathbb {R}}^{3}\) whose adiabatic exponents take values in \([1,\frac{4}{3})\). 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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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464