Reaction and Diffusion in the Presence of Fluid Flow

流体流动时的反应和扩散

• 批准号: 0632442
• 负责人: Andrej Zlatos
• 金额: $ 11.58万
• 依托单位: University of Chicago
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-07-01 至 2009-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0632442&HistoricalAwards=false
• 关键词: Reaction; Diffusion; Presence; Fluid; Flow

Reaction and Diffusion in the Presence of Fluid FlowAbstract of Proposed ResearchAndrej Zlatos This project is to investigate the mathematical analysis of equations that model systems that involve both reactions and fluid flow. This will help our understanding of issues such as burning in internal combustion engines, nuclear reactions in stars, forest fires and the production of ozone in the atmosphere. Specifically we shall study systems of reaction diffusion equations coupled to the Navier-Stokes equation. A particular problem is to analyze the quenching of reaction due to the presence of fluid advection. Another is the study of traveling fronts for the reactive Boussinesq system. This work will involves the use of functional analysis, probability theory and special techniques, including spectral theory and comparison principles, for these classes of nonlinear partial differential equations.

流体流动中的反应和扩散建议研究摘要Andrej Zlatos这个项目是研究方程的数学分析，模型系统涉及反应和流体流动。 这将有助于我们理解内燃机燃烧、恒星核反应、森林火灾和大气中臭氧的产生等问题。具体地说，我们将研究与纳维尔-斯托克斯方程耦合的反应扩散方程组。一个特殊的问题是分析由于流体平流的存在而导致的反应淬灭。另一个是对反应型Boussinesq系统的行波波前的研究。这项工作将涉及使用功能分析，概率论和特殊的技术，包括谱理论和比较原则，这些类的非线性偏微分方程。