题目:Sharp Interface Limits for Diffuse Interface Models
报告专家:刘豫宁(上海纽约大学)
报告时间:2018年8月9日,16:00-17:00
报告地点:数学学院东302-2
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 thescaling. This is a joint work with Helmut Abels in Regensburg university.
邀请人:张旭 教授
来源链接:http://math.scu.edu.cn/info/1062/3632.htm