U.S.-France Cooperative Research: Mathematical Problems in Continuum Mechanics and Related Equations

这项为期三年的奖项为美法合作研究提供支持， 物理系统连续建模和分析中的数学问题。 的 这项合作涉及美国西北大学陈桂强领导的研究小组， 大学和法国数学实验室的Michel Rascle领导的法国团队 尼斯大学。 研究人员将研究可压缩欧拉方程，熵 通量分裂，动力学公式，微观结构，相变和亚稳态。 基本的数学主题是奇异极限;统一的物理主题是 即连续介质力学。 该项目利用了互补性 美国和法国调查人员的专业知识，并将促进对 物理系统中问题的数学基础。

This three-year award provides support for US-France cooperative research on mathematical problems in continuum modeling and analysis for physical systems. The collaboration involves the US research team led by Gui-Qiang Chen at the Northwestern University and the French team led by Michel Rascle at the Mathematics Laboratory of the University of Nice. The investigators will study compressible Euler equations, entropy flux splittings, kinetic formulations, microstructure, phase transition and metastability. The underlying mathematical theme is that of singular limits; the unifying physical theme is that of continuum mechanics. The project takes advantage of the complementary expertise of the US and French investigators and will advance understanding of mathematical underpinnings of problems in physical systems.