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

这个为期三年的奖项为美国和法国在物理系统连续统建模和分析数学问题方面的合作研究提供支持。此次合作包括美国西北大学陈桂强领导的研究小组和法国尼斯大学数学实验室米歇尔·拉斯克尔领导的研究小组。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。潜在的数学主题是奇异极限；统一的物理主题是连续介质力学。该项目利用了美国和法国研究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.