U.S.-France Cooperative Research: Boundary Layers, Interfaces and Defects in Composite Media

这项为期两年的美法应用数学合作研究奖授予Michael S.Vogelius和罗格斯大学的其他人，以及法国帕莱索理工学院数学应用中心的Gregoire Allaire和Eric Bonnetier。本项目的目的是研究复合材料介质中与界面有关的问题。界面可以是微观的，也可以是宏观的。在每种情况下，研究人员都将研究这些界面对复合材料宏观行为的影响。该项目利用了美国和法国在复合介质中出现的椭圆型偏微分方程(PDE)的分析和计算方面的互补专业知识。该奖项代表了美方向NSF和法国国家科学研究中心(CNRS)提出的联合建议。NSF将支付这位美国调查员、他的团队成员和一些研究生的旅费和生活费。CNRS将支持法国研究人员访问美国。这项合作将有助于对不均匀和多尺度材料(复合材料)进行建模。复合材料由于其强度和重量的结合，对新材料和新技术的发展具有重要意义。

0003788VogeliusThis two-year award for U.S.-France cooperative research in applied mathematics involves Michael S. Vogelius and others at Rutgers University and Gregoire Allaire and Eric Bonnetier of the Centre de Mathematiques Appliquees at the Ecole Polytechnique, Palaiseau, France. The objective of this project is to study problems related to interfaces in composite material media. The interfaces can be microscopic or macroscopic. In each case the investigators will study the effect of these interfaces on the macroscopic behavior of the composite. The project takes advantage of complementary US and French expertise in analytical and computational aspects of elliptic Partial Differential Equations (PDE) that appear in the context of composite media.This award represents the US side of a joint proposal to the NSF and the French National Center for Scientific Research (CNRS). NSF will cover travel funds and living expenses for the US investigator, members of his group and some graduate students. The CNRS will support the visits of French researchers to the United States. The collaboration will contribute to modeling of inhomogeneous and multiscale materials (composites). Composite materials, due to combined strength and weight, are important to the development of new materials and new technologies.