Workshop on Nonlinear PDE and Applications to Materials: A Proposal for Graduate Student Support

该奖项将资助研究生参加将于1999年4月30日至5月2日在明尼苏达大学举行的“非线性偏微分方程及其在材料中的应用”研讨会。受邀参加研讨会的演讲者将包括建模人员、数学分析人员、数值分析人员和材料科学家。可能会讨论的具体话题包括微观结构、多时间尺度、变化很大的长度尺度、粘度方法和非线性均化。所有这些主题在材料的数学模型中都被证明是有价值的。这将是一次彻底的跨学科讲习班，来自不同科学学科(材料科学、计算机科学、固态物理和数学)的专家将聚集在一起，讨论他们单独遇到的问题，但可能只使用其专业科学小组熟悉的工具。通过这种方式，其他专家和在座的研究生将清楚地了解这些工具的功能(和局限性)。数学家需要充分了解材料研究中出现的见解，材料科学家需要了解数学研究中出现的最佳技术。来自全国各地计划在研讨会相关领域工作的有才华的研究生将被鼓励申请支持，以便他们可以参加。今天的研究生将成为明天的研究领导者，他们将从第一手观察数学理论与一个重要应用领域的互动中受益匪浅。

The award will fund graduate student participation in a workshop on "Nonlinear Partial Differential Equations and Applications to Materials", to be held April 30 -- May 2, 1999 at the University ofMinnesota. The speakers invited to the workshop will include modelers, mathematical analysts, numerical analysts and materials scientists. Specific topics which may be expected to come under discussion include microstructure, multiple time scales, widely varying length scales, viscosity methods and nonlinear homogenization. All of these topics have proved to be of value in mathematical models of materials. This will be a thoroughly interdisciplinary workshop, in which experts from rather different scientific disciplines (materials science, computer science, solid-state physics and mathematics) will be brought together to discuss problems they have encountered separately, but may have approached using only the tools which are familiar to their specialized scientific group. In this way, the power (and limitations) of these tools will be made clear to other experts and to the graduate students present. Mathematicians need to be well informed about the insights which have emerged from the study of materials, and materials scientists need to learn about the best techniques which have emerged from mathematical investigations. Talented graduate students from across the country who are planning to work in areas related to the workshop will be encouraged to apply for support so they may attend. The graduate students of today, who will become the research leaders of tomorrow, will benefit deeply from observing at first hand this interaction of mathematical theory with an important area of application.