Mathematical Sciences: Homogenization and Oscillation Effects in Some Systems of Partial Differential Equations ofContinuum Mechanics

本项目的目标是研究应用程序， 连续介质力学的数学工具， 首席调查员 这个工具，称为H理论，是一个 同质化理论的产物，这也是发展 主要是由首席研究员。 特定区域将 研究包括混合物的有效性质，非局部 均匀化效应、流体长期行为 界面，复合材料微观结构的演变 材料和固体的非线性振动。

The goal of this project is to study the applications to continuum mechanics of a mathematical tool developed by the principal investigator. This tool, called H theory, is an outgrowth of homogenization theory, which was also developed largely by the principal investigator. Particular areas to be studied include effective properties of mixtures, non-local effects induced by homogenization, long-time behavior of fluid interfaces, evolution of the microstructure of composite materials and nonlinear vibrations of solids.