Mathematical Sciences: Classical and Applied Analysis

9400778芬恩该奖项支持毛细管理论的数学研究和液体桥、（不对称）悬垂液滴和缓慢旋转流体质量的几何问题。此外，还将研究楔形和喙形区域中曲率型曲面的奇异行为以及h图的先验曲率估计。其中一些调查将在与美国航空航天局和欧洲空间局合作的情况下与空间实验有关。其他涉及斯坦福大学和洛克希德公司联合进行的Gravity-B实验，该实验使用轨道陀螺仪来测试广义相对论，以及斯坦福大学的重力和惯性质量等效原理实验。这些研究将包括参考计算，但工作的基本内容将是数学。形式理论是从一个完全严谨的观点发展起来的，包括从几何角度分析偏微分方程的解。由此产生的实验可以看作是对数学形式所依据的基本物理假设的精确检验。物理问题反过来又继续提出新的数学问题。＊＊＊

9400778 Finn 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. ***