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Sharp Interface Limits for Diffuse Interface Models
2018-08-14 00:00:00

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.