报告人: Prof LIN Ping, University of Dundee
时间: 2024.09.05, 周四, 下午4:00-5:00
地点: 维格堂319
摘要：We will first show how to develop a thermodynamically consistent phase field model for the binary incompressible (quasi-incompressible) fluid, which allows for the different properties (densities, viscosities and heat conductivities) of each fluid component. A sharp-interface limit analysis is carried out to show that the interfacial conditions of the classical sharp-interface conditions can be recovered or developed. We then apply the modelling method to derive a model for variable density moving contact line problems. Energy law preserving computational methods are developed for variable density models. A few illustrative computational examples will be presented. At the end we will show how to apply the modelling method to vesicle motions through a narrowed channel. This talk is based on a few joint papers with Zhenlin Guo, Lingyue Shen, Shixin Xu, Zhiliang Xu and Huaxiong Huang.
BIO：林平，本科、硕士均毕业于南京大学数学系。1995年获加拿大不列颠哥伦比亚大学应用数学博士学位。1996年在美国斯坦福大学应用力学与计算机系做博士后研究，1998年秋在伦斯勒理工大学短期访问后开始担任新加坡国立大学数学系助理教授，后升为副教授、教授，2007年开始担任英国邓迪大学数值分析和计算数学教授（chair of numerical analysis）。主要从事偏微分方程建模、数值方法设计与分析，以及应用数学和科学工程计算等交叉学科研究。目前的应用研究主要集中在多相流、非牛顿流体、多尺度问题、流体管壁作用、图像处理、和一些生物、医疗中的建模计算问题。
邀请人：岳兴业