Mathematical Sciences: Research in Applied Mathematics

数学科学：应用数学研究

• 批准号: 9123691
• 负责人: John Cannon
• 金额: $ 4万
• 依托单位: Lamar University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-09-15 至 1993-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9123691&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Research; Applied; Mathematics

The principal investigator will study diffusion subject to the specification of mass, a number of free boundary value problems related to combustion of solid fuels, and will analyze a number of nonclassical inverse problems. The qualitative analysis of the solutions of such problems is of significant scientific interest in view of the wide spread application of such problems to physical systems. Parabolic partial differential equations are useful as mathematical models in many areas of engineering, chemistry, and physics. By better understanding the fundamental theory of nonstandard models of flows, better numerical predictions of real flows will result.

主要研究者将研究扩散， 质量、若干自由边界值 有关固体燃料燃烧的问题，并将分析 一些非经典的逆问题。 定性 分析这些问题的解决方法具有重要意义 科学的兴趣，鉴于广泛的应用， 这类问题的物理系统。 抛物型偏微分方程是有用的， 数学模型在许多领域的工程，化学， 物理学 通过更好地理解 流动的非标准模型，真实的更好的数值预测 将产生流量。