Mathematical Sciences: Dynamics of Galaxies/Order and Chaos

数学科学：星系动力学/秩序与混沌

• 批准号: 8815984
• 负责人: Chia-Chia Lin
• 金额: --
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-12-01 至 1991-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8815984&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Dynamics; Galaxies; Order

This proposal will study the dynamics of galactic disks as nonlinear dynamical systems using the modal approach. To assure that the modal approach is realistic and viable, a study will be made of the spiral structure of selected galaxies. Thus, the theory will first be applied to the galaxy M81 and the Milky Way for which observational data are already available and certain preliminary studies of spiral modes have also been carried out. Next, the nonlinear interactions of the mildly unstable modes associated with a two-component basic equilibrium state (consisting of stars and interstellar gas) will be considered. This process is expected to be greatly influenced by the gaseous component whose strong nonlinear response, and self-gravitating and dissipative character would tend to stabilize the spiral structure. Finally analytical studies will be made of the various physical processes after these processes have been formulated for mathematical treatment.

这项提议将研究星系盘的动力学， 非线性动力系统的模态方法。 到 确保模式方法是现实的和可行的，研究 将由选定星系的螺旋结构组成。 因此，该理论将首先应用于星系M81， 银河系的观测数据 现有的和某些螺旋模式的初步研究， 也进行了。 其次，非线性相互作用的 与二分量基本波相关的轻度不稳定模式 平衡态（由恒星和星际气体组成） 将予以考虑。 预计这一进程将大大 受气体成分的影响， 反应，自我吸引和耗散的特性， 有助于稳定螺旋结构。 最后分析 将研究各种物理过程， 这些过程已被公式化用于数学处理。