AI 中文总结
本文对球对称旋转无粘性自引力暗流体模型进行稳定性分析，采用古德尔-朗道-斯坦纽科维奇问题的自相似拟设求解方程，发现其仅弱不稳定且动态鲁棒。
AI 中文摘要
我们对一种暗流体模型开展稳定性分析，该模型描述为非相对论、旋转、无粘性的自引力流体。我们假设球对称，并用多方物态方程来建模物质。所得耦合非线性偏微分方程组采用古德尔-朗道-斯坦纽科维奇问题中已知的自相似拟设求解。我们发现四个李雅普诺夫指数中有三个为负，仅一个为正，这表明相空间中存在一个不稳定方向和三个收缩方向。该单一正指数相对较小，说明自相似解仅为弱不稳定，在研究区间内仍具有动态鲁棒性。
英文摘要
We present a stability analysis of a dark-fluid model described as a non-relativistic, rotating, non-viscous, self-gravitating fluid. We assume spherical symmetry and model the matter by a polytropic equation of state. The resulting coupled nonlinear partial differential equation system is solved using a self-similar ansatz known from the Guderley-Landau-Stanyukovich problem. We find that three of the four Lyapunov exponents are negative, while only one is positive. This indicates one unstable direction and three contracting directions in phase space. The single positive exponent is relatively small, suggesting that the self-similar solution is only weakly unstable and remains dynamically robust over the investigated interval.
Comments10 pages, 1 figure
Journal refParticles 2026, 9(3), 78
