发表机构
Ulugh Beg Astronomical Institute, Uzbekistan Academy of Sciences; National University of Uzbekistan named after Mirzo Ulugbek（乌卢格别克天文台，乌兹别克斯坦科学院; 米尔佐·乌鲁伯格国立乌兹别克斯坦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究盘状星系早期非稳态阶段小微扰模态的引力不稳定性，通过非线性各向异性模型推导色散方程并数值分析，确定了不稳定性性质及增长率比较。
AI 中文摘要
本文研究了盘状星系演化早期非稳态阶段小微扰模态引力不稳定的性质。为此，我们在非线性非稳态各向异性自引力盘模型的框架下，研究了水平小微扰模态如 $(m;N) = (12;20)$、$(14;20)$、$(16;20)$ 和 $(18;20)$ 的引力不稳定性。推导了这些微扰模态对应的非稳态色散方程，并进行了数值分析。结果以初始维里比与盘旋转参数的临界依赖关系形式呈现。确定了非线性非稳态自引力盘中微扰模态不稳定性的性质，并对其不稳定性增长率进行了比较分析。
英文摘要
In this work, we investigate the nature of gravitational instability of small-scale perturbation modes during the early nonstationary stages of the evolution of disk-like galaxies. To this end, we study the gravitational instability of small-scale horizontal perturbation modes, such as $(m;N) = (12;20)$, $(14;20)$, $(16;20)$, and $(18;20)$, in the framework of a nonlinear nonstationary anisotropic model of a self-gravitating disk. The corresponding nonstationary analogues of the dispersion equation for these perturbation modes are derived, and their numerical analysis is performed. The results are presented in the form of critical dependences of the initial virial ratio on the disk rotation parameter. The nature of the instability of small-scale perturbation modes in a nonlinear nonstationary self-gravitating disk is determined, and a comparative analysis of their instability increments is carried out.
Comments23 pages, 5 figures, submitted to Gravitation and Cosmology
