Mathematical Sciences: Classical and Applied Analysis

数学科学：经典与应用分析

• 批准号: 9401167
• 负责人: Paul Concus
• 金额: $ 1.64万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-09-01 至 1996-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401167&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Classical; Applied; Analysis

9401167 Concus This award supports mathematical research on capillarity theory and geometrical questions for liquid bridges, for (asymmetric) pendent liquid drops and for slowly rotating fluid masses. Exotic behavior for surfaces of curvature type in wedges and proboscis domains and a-priori curvature estimates for H-graphs will also be studied. Some of these investigations are to be conducted in connection with space experiments, in cooperation with NASA and with the European Space Agency. Others relate to the joint Stanford-Lockheed Gravity-B experiment to use orbiting gyroscopes in a test of the general relativity theory and a Stanford experiment of the equivalence principle between gravitational and inertial mass. These studies will include reference calculations, but the underlying substance of the work will be mathematical. The formal theory is being developed from a completely rigorous point of view involving analysis of solutions of partial differential equations from a geometric perspective. The resulting experiments can be regarded as precise tests of the underlying physical hypotheses on which the mathematical formalism is based. The physical problems continue, in turn, to suggest new mathematical questions. ***

小行星9401167 该奖项支持毛细管理论的数学研究和液体桥的几何问题，（不对称）悬垂液滴和缓慢旋转的流体质量。 我们也将研究楔形和长鼻域中曲率型曲面的奇异行为以及H-图的先验曲率估计。 其中有些调查将与美国航天局和欧洲航天局合作，结合空间实验进行。 另一些实验涉及斯坦福-洛克希德引力B实验，使用轨道陀螺仪检验广义相对论，以及斯坦福大学关于引力和惯性质量之间等效原理的实验。 这些研究将包括参考计算，但工作的基本内容将是数学。 正式的理论是从一个完全严格的角度来看，涉及从几何角度分析偏微分方程的解决方案。 由此产生的实验可以被视为对数学形式主义所基于的基本物理假设的精确测试。 物理问题继续，反过来，提出新的数学问题。 ***