报告摘要：

       Free boundaries are boundaries between different phases, say solid (ice) and liquid (water). Due to the complexity of topological changes of free boundaries, a direct study of a free boundary problem may become very difficult. In modern physics, quite often a free boundary is replaced by a thin region called interfacial region and a seemingly ill posed free boundary problem is replaced by a well-posed continuum model. This talk addresses a few fundamentals in connection between continuum models for interfacial region and their limits for free boundary problems.

报告人简介：

       陈新富（Xinfu Chen），现为美国匹兹堡大学教授。1980年至1986年就读北京大学数学本科、硕士研究生，1991年获美国明尼苏达大学博士，师从美国科学院院士Avner Friedman。曾获得Sloan研究奖及多次美国自然科学基金。陈教授研究领域广泛，包括非线性抛物型和椭圆型偏微分方程、自由边值问题、界面动力系统等。研究成果主要发表在包括 Arch. Ration. Mech. Anal., J. Differential Geom., Trans. Amer. Math. Soc.,SIAM J. Math. Anal., J. Comput. Phys等数学杂志上。