Analysis and PDE Seminar——Sharp Interface Limits for Diffuse Interface Models
主 题: Analysis and PDE Seminar——Sharp Interface Limits for Diffuse Interface Models
报告人: Yuning Liu (New York University Shanghai)
时 间: 2018-05-17 10:30-11:30
地 点: Room 1303, Sciences Building No. 1
Abstract: 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.