Mathematical Sciences: Geometric Problems of Crystal Growth and Equilibrum

数学科学：晶体生长与平衡的几何问题

• 批准号: 9105667
• 负责人: Jean Taylor
• 金额: $ 4.47万
• 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: 1991
• 资助国家: 美国
• 起止时间: 1991-08-01 至 1994-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9105667&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Geometric; Problems; Crystal

This award will support research in mathematics and material science. In particular, Professor Taylor will investigate the shapes of surfaces which minimize surface energy subject to various constraints. The evolution of these surfaces is determined by the current shape and position of the surface and involves factors such as mobility and surface energy reduction. Surface energies which are so anisotropic that single crystals in equilibrium are polyhedra are of particular interest. Professor Taylor will continue to study both the mathematical and physical theory of crystal growth. She will also continue to develop computer algorithms which will illustrate the mathematical ideas and serve as an experimental tool. The use of computer experiments as an aid in the development of theory is one of the many unique aspects to the research.

该奖项将支持数学和材料科学的研究。特别是，泰勒教授将研究在各种约束下最小化表面能的表面形状。这些表面的演变由表面当前的形状和位置决定，并涉及流动性和表面能降低等因素。 表面能的各向异性如此之大，以至于平衡时的单晶呈多面体，这是特别令人感兴趣的。 泰勒教授将继续研究晶体生长的数学和物理理论。她还将继续开发计算机算法，以阐释数学思想并作为实验工具。使用计算机实验来辅助理论发展是该研究的众多独特方面之一。