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Sharp Interface Limits for Diffuse Interface Models

编辑:wfy 时间:2018年10月12日 访问次数:769

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: 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)