Presidential Young Investigators Award

总统青年研究员奖

• 批准号: 8958344
• 负责人: Stephen Wiggins
• 金额: $ 19.08万
• 依托单位: California Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-08-01 至 1995-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8958344&HistoricalAwards=false
• 关键词: Presidential; Young; Investigators; Award

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.

这个多方面的研究项目解决了流体动力学、非线性光学、耦合刚体动力学和无限维动力学方面的问题。 流体动力学工作与由于混沌平流而在流体流动中出现的传输和混合现象有关。 这项工作将集中在两个不同的主题上，特别是传输和混合的反馈控制，以及具有更一般时间依赖性的流动。 光学研究涉及非线性介质中传播的光脉冲的偏振动力学。 这项工作可应用于光纤设备。 刚体动力学工作研究具有粘性阻尼和外力的耦合刚体动力学系统的全局动力学。 最终研究主题的目的是将动力系统的几何理论应用于无限维度的问题。