Mathematical Sciences: Research in Applied Math

数学科学：应用数学研究

• 批准号: 9401847
• 负责人: John Cannon
• 金额: $ 4万
• 依托单位: The University of Central Florida Board of Trustees
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-10-01 至 1996-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401847&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Research; Applied; Math

9401847 Cannon The principal investigator will study diffusion subject to the specification of mass, a number of free boundary value problem related to combustion of solid fuels, and will analyze a number of nonclassical inverse problems. The qualitative analysis o 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 lows, better numerical predictions of real flows will result.

9401847炮的首席研究员将研究质量规范下的扩散，一些与固体燃料燃烧有关的自由边值问题，并将分析一些非经典的逆问题。鉴于此类问题在物理系统中的广泛应用，对此类问题的解的定性分析具有重要的科学意义。抛物型偏微分方程在工程、化学和物理的许多领域都是有用的数学模型。通过更好地理解非标准低涡模式的基本理论，将产生更好的真实流动的数值预测。