Presidential Young Investigators Award

这个多方面的研究项目解决了流体中的问题 动力学，非线性光学，耦合刚体动力学， 无限维动力学 流体动力学的工作是相关的 涉及流体流动中出现的输送和混合现象， 到混沌平流 这项工作将集中在两个不同的 主题，特别是输送和混合的反馈控制，以及 具有更一般的时间依赖性的流动。 光学研究交易 随着光脉冲的偏振动力学传播， 非线性介质 这项工作有应用到光纤 装置. 刚体动力学研究的是 粘性耦合刚体动力学系统动力学 阻尼和外力。 最终研究的目的 主题是把动力系统的几何理论， 在无限维度上的问题。

This multifaceted research project addresses issues in fluid dynamics, nonlinear optics, coupled rigid body dynamics, and infinite dimensional dynamics. The fluid dynamics work is related to transport and mixing phenomena which arise in fluid flows due to chaotic advection. This effort will focus on two distinct topics, specifically, feedback control of transport and mixing, and flows with more general time dependence. The optics research deals with the polarization dynamics of optical pulses propagating in nonlinear media. This work has applications to fiber optical devices. The rigid body dynamics effort studies the global dynamics of coupled rigid body dynamics systems with viscous damping and external forcing. The intent of the final research topic is to bring the geometrical theory of dynamical systems to bear on problems in infinite dimensions.