Mathematical Sciences: Hydrodynamic and Hydromagnetic Waves

首席研究员将继续研究 水动力和磁流体波的类型，发生在 地球的核心 特别地，她将使用特征函数 分析了描述 分层的、旋转的、导电的 流体和哈密顿技术来研究的稳定性 三维磁流体动力学平衡态。 地球内部流体的行为是一个非常复杂的 问题的解决需要各方的共同努力 实验学家和理论家。 基本上这两个群体 研究把地球看作旋转球的简化模型 一种分层的，导电的流体， 领域 首席研究员是一位理论家， 研究某些平衡态是否 对外界扰动是稳定的 她的工作与 地球物理学和地震研究。

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.