Advances in Modern Free Boundary Problems

现代自由边界问题的进展

• 批准号: 0600930
• 负责人: Yanyan Li
• 金额: --
• 依托单位: Rutgers University New Brunswick
• 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: 2006-06-01 至 2009-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0600930&HistoricalAwards=false
• 关键词: Advances; Modern; Free; Boundary; Problems

Advances in Modern Free Boundary ProblemsAbstract of Proposed ResearchEduardo V Teixeira This project is to study free boundary problems that arise in science. One problem is to study mathematical models of the optimal shape of an heterogeneous body with respect insulation. That is one wishes to minimize the heat flux as a function of shape for the same exterior conditions. This model also corresponds to a number of other physical optimization problems. Another project is to study certain free boundary problems that arise in combustion theory and the propagation of flame fronts. Mathematically these problems involve the existence, regularity and stability of free boundaries and of the solutions of the systems of equations that model these phenomena. The PI proposes to develop new analytical and geometrical methods for analyzing these problems.

现代自由边界问题的进展--Eduardo V特谢拉的研究建议摘要 这个项目是研究在科学中出现的自由边界问题。一个问题是研究数学模型的最佳形状的异质体方面的绝缘。也就是说，对于相同的外部条件，希望最小化作为形状的函数的热通量。该模型也对应于一些其他的物理优化问题。另一个项目是研究燃烧理论和火焰前沿传播中出现的某些自由边界问题。 在数学上，这些问题涉及自由边界的存在性、规律性和稳定性，以及模拟这些现象的方程组的解。 PI建议开发新的分析和几何方法来分析这些问题。