报告人：费明稳（安徽师范大学365英国上市副院长、长江特聘教授、博士生导师）
时间：1月14日16：50-16：30
地点：36-507
摘要: There are two important model categories: sharp interface models and diffuse interface models to study phase transition problems. For sharp interface models the interface is assumed to be a hypersurface with zero width. In contrast, diffuse interface models treat the interface as a transition layer (also called diffuse interface) with small width, and another a typically order parameter (also called phase field) is introduced to model the process of phase transition across the transition layer. Both model types are usually derived from physical principles or observations and can be used to model the same situations in applications. This motivates to study the connection between diffuse and sharp interface models by sending the interfacial width to zero. Such limits are known as“sharp interface limits”. In this talk we shall prove convergence of the solutions of the 3D Navier-Stokes/Allen-Cahn system to solutions of the sharp interface model. This talk is based on a joint work with Helmut Abels, Yadong Liu and Maximilian Moser.
报告人简介：费明稳，安徽师范大学365英国上市副院长、长江特聘教授、博士生导师，主要从事Navier-Stokes方程边界层和双相流模型界面动力学等方面研究，研究成果发表在Inventiones Mathematicae等国际著名数学期刊上，获批主持多项国家自然科学基金项目。
