报告题目：

Sharp Interface Limits for Diffuse Interface Models

报 告 人：

刘豫宁 访问助理教授（上海纽约大学）

报告时间：

2018年08月15日 16:00--17:00

报告地点：

理学院东北楼四楼报告厅（404）

报告摘要：

We consider the mathematical relation between diffuse interface and sharp interface models for the flow of two viscous, incompressible Newtonian fluids like oil and water. In diffuse interface models a partial mixing of the macroscopically immiscible fluids on a small length scale ε > 0 is taken into account. These models are capable to describe such two-phase flows beyond the occurrence of topological singularities of the interface due to collision or droplet formation. Both for theoretical and numerical purposes a deeper understanding of the limit ε → 0 is of interest. We discuss a rigorous mathematical result on convergence of diffuse interface to sharp interface models in dependence of the scaling. This is a joint work with Helmut Abels in Regensburg university.