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物理系统的连续介质建模和分析中的数学问题提供了支持。西北大学的陈桂强领导的美国研究团队和尼斯大学数学实验室的米歇尔·拉斯克领导的法国团队参与了这项合作。研究人员将研究可压缩欧拉方程、熵流分裂、动力学公式、微观结构、相变和亚稳性。基本的数学主题是奇异极限主题；统一的物理主题是连续介质力学主题。该项目利用了美国和法国调查人员的互补专业知识，并将促进对物理系统中问题的数学基础的理解。

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.