Mathematical Sciences: Hydrodynamic and Hydromagnetic Waves

数学科学：流体动力学和流体磁波

• 批准号: 9000137
• 负责人: Susan Friedlander
• 金额: $ 4.35万
• 依托单位: University of Illinois at Chicago
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-01 至 1993-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9000137&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Hydrodynamic; Hydromagnetic; Waves

The principal investigator will continue her studies of hydrodynamic and hydromagnetic waves of the type that occur in the earth's core. In particular, she will use eigenfunction analysis of the partial differential equations that describe oscillations in stratified, rotating, electrically conducting fluids and Hamiltonian techniques to study the stability of three-dimensional magnetohydrodynamic equilibrium states. The behavior of fluids inside of the earth is a very complicated problem whose solution involves the combined efforts of experimentalists and theoreticians. Essentially both groups study simplified models that regard the earth as a rotating ball of stratified, electrically conducting fluid inside of a magnetic field. The principal investigator is a theoretician who will investigate among other topics whether certain equilibrium states are stable to outside perturbations. Her work has relevance in geophysics and in the study of earthquakes.

首席研究员将继续研究地核中发生的流体动力波和流体磁波。 特别是，她将使用描述分层、旋转、导电流体中振荡的偏微分方程的特征函数分析和哈密顿技术来研究三维磁流体动力学平衡状态的稳定性。 地球内部流体的行为是一个非常复杂的问题，其解决需要实验学家和理论家的共同努力。 本质上，两个小组都研究简化模型，将地球视为磁场内部分层导电流体的旋转球。 首席研究员是一位理论家，他将研究某些平衡状态对于外部扰动是否稳定。 她的工作与地球物理学和地震研究相关。