Mathematical Sciences: Geometric Problems of Crystal Growth and Equilibrum

该奖项将支持数学和材料科学方面的研究。特别是，泰勒教授将研究在各种约束条件下使表面能量最小化的表面形状。这些曲面的演化由曲面的当前形状和位置决定，并涉及迁移率和表面能量降低等因素。表面能是如此各向异性，以至于处于平衡状态的单晶是多面体，这是特别值得关注的。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，这些算法将说明数学思想，并作为实验工具。使用计算机实验作为理论发展的辅助工具是这项研究的许多独特方面之一。

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.