京师数学前沿论坛 第二十四讲
前沿论坛
报告题目(Title)：Sharp interface limit of the 3D Navier-Stokes/Allen-Cahn system
报告人(Speaker)：费明稳 教授（安徽师范大学）
地点(Place)：后主楼1124
时间(Time)：2026年4月19日（周日）14:00-15:00
报告摘要
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.
主讲人简介
费明稳，安徽师范大学数学与统计学院教授、博士生导师、院长，国家重大人才工程特聘教授。2010年获南京大学博士学位。
主要从事偏微分方程研究，聚焦Navier-Stokes方程边界层、相场模型界面动力学及双相流问题。在Inventiones Mathematicae、Comm. in Mathematical Physics、Adv. Math.、SIAM J. Mathematical Analysis等期刊，其中关于向量值Allen-Cahn方程奇异极限问题的研究成果发表于Inventiones Mathematicae。
