太阳成集团tyc411(中国)有限公司-百度百科九十周年院庆系列活动之八十二

Title: Sharp Interface Limits for Diffuse Interface Models

Speaker: Professor . LIU，Yuning  (Mathematics  at  NYU Shanghai.)

Time: 2018-10-18  15:30-16:30

Location: 200-9,  Sir Run Run Shaw Business Administration building,School of Mathematical Sciences, Yuquan Campus

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.

Contact Person: WANG Meng, (mathdreamcn@zju.edu.cn)