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SEMINARS
Sharp Interface Limits for Diffuse Interface Models
时间  Datetime
2018-10-12 16:00 — 17:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Yuning Liu
单位  Affiliation
New York University Shanghai
邀请人  Host
谢春景
报告摘要  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.