U.S.-Japan Seminar: Nonlinear Problems in Geometry and Physics; March 1994; Baltimore, Maryland

该奖项支持一个关于几何和物理非线性问题的美日研讨会。联合组织者是约翰霍普金斯大学的Joel Spruck教授和东京大学的Hiroshi Matano教授。讨论会将在两位主要研究人员将于1993年和1994年在约翰霍普金斯大学进行的为期两年的合作研究项目结束时举行。该研究计划将重点研究微分几何（平均曲率流、各向异性晶体生长、Ricci流）和相变和界面动力学物理理论（Ginsburg-Landau理论、Allan-Cahn方程、Stefan问题、Hele-Shaw流、反应扩散方程和模式形成）中出现的非线性演化和自由边界问题。主要重点将是跨学科研究，参加积极的研究和培训研讨会。1994年春季为期一周的讨论会将向数学界开放，汇集日本和美国的主要专家，就这些专题的主要发展提出报告。

This award supports a U.S.-Japan Seminar on Nonlinear Probnlems in Geometry and Physics. The co-organizers are Professor Joel Spruck of the Johns Hopkins University and Professor Hiroshi Matano of the University of Tokyo. The seminar will be held at the conclusion of a two-year collaborative research project between the two principal investigators, which will be undertaken at Johns Hopkins University during 1993 and 1994. The research program will focus on nonlinear evolution and free boundary problems arising in Differential Geometry (Mean Curvature Flow, Anisotropic Crystal Growth, Ricci Flow) and in the physical theories of phase transitions and interfacial dynamics (Ginsburg-Landau theory, Allan-Cahn equation, Stefan problem, Hele-Shaw flow, reaction diffusion equations and pattern formation). The primary focus will be interdisciplinary research participation in an active research and training seminar. The week-long seminar in spring 1994 will be open to the mathematical community, bringing together the leading experts from Japan and the United States to report on the major developments in these topics.