Sharp Interface Limits for Diffuse Interface Models
发布时间：2018-08-14 点击次数：
| 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. |