Presidential Young Investigators Award: Nonlinear Dynamics of Reaction and Transport Processes

这项拨款是为Yannis G. Kevrekidis博士在国家科学基金会总统青年研究者奖项目下提供研究支持。Kevrekidis博士的研究主要围绕物理化学和工程过程的动态行为研究。他的工作重点是在现实建模水平上开发、实现和利用计算工具。具体来说，他的工作涉及两个领域：(1)集中反应系统的非线性动态行为和控制——在这个领域，他的工作旨在更好地理解反应系统中非稳态行为的本质，开发系统检测过渡的方法，以及完全发展的时间相关动力学的表征和分析。(2)输运过程中的不稳定性、过渡、模式和复杂动力学——在这个领域，他专注于系统研究一类由偏微分方程描述的反应/流动问题中的低维（非完全湍流）动力学行为。他的长期目标是使用计算机对物理和化学过程进行基本建模，分析，并最终基于此建模进行设计。

This grant is to provide research support for Dr. Yannis G. Kevrekidis under the National Science Foundation's Presidential Young Investigator Awards program. Dr. Kevrekidis' research is centered around the study of the dynamic behavior of physicochemical and engineering processes. His work is focused on the development, implementation and exploitation of computational tools at a realistic modeling level. Specifically, his work is in two areas: (1) Nonlinear dynamic behavior and control of lumped reacting systems--In this area his work is aimed at obtaining a better fundamental understanding of the nature of non-steady-state behavior in reacting systems, the development of methods for the systematic detection of transitions, and the characterization and analysis of fully developed time-dependent dynamics. (2) Instabilities, transitions, patterns and complex dynamics in transport processes--In this area he is concentrating on the systematic study of low dimensional (not fully turbulent) dynamic behavior in a class of reaction/flow problems described by partial differential equations. His long term goal is to use the computer to do fundamental modeling of physical and chemical processes, analyze, and ultimately design them based on this modeling.