Sharp Interface Limits for Diffuse Interface Models
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浙江大学数学科学学院九十周年院庆系列活动之八十二
Title: SharpInterface 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 ShawRun Run 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)