Onsager’s Variational Principle as an approximation tool in dynamics
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题目：Onsager’s Variational Principle as an approximation tool in dynamics
地点：工商楼4楼报告厅
时间：2018年4月27日10:00--11:00
报告人： 邸亚娜研究员 中国科学院数学与系统科学研究院
摘要： Many basic equations describing the dynamics are derived from a variational principle proposed by Onsager in his celebrated paper on the reciprocal relation (1931). This includes Stokes equation for hydrodynamics, Cahn-Hilliard equation for phase separation, elasto-diffusion equation for gels, Leslie-Ericksen equation for liquid crystals etc. In this talk, I will discuss how this principle is useful in solving practical problems. It is illustrated by the examples for sliding droplets on an inclined surface, capillary rising between a flexible film and a solid wall, and die coating problem. An explicit time evolution equation is obtained which could be numerically solved. The results that predict the dynamical transition are consistent with the experiments. These examples demonstrates the potentiality of the present method to wider classes of problems which involve contact
line moving, surface tension gradients and evaporation. This is a joint work with Xianmin Xu and Masao Doi.
联系人：王何宇（wangheyu@zju.edu.cn）
欢迎教师、研究生、本科生参加！
地点：工商楼4楼报告厅
时间：2018年4月27日10:00--11:00
报告人： 邸亚娜研究员 中国科学院数学与系统科学研究院
摘要： Many basic equations describing the dynamics are derived from a variational principle proposed by Onsager in his celebrated paper on the reciprocal relation (1931). This includes Stokes equation for hydrodynamics, Cahn-Hilliard equation for phase separation, elasto-diffusion equation for gels, Leslie-Ericksen equation for liquid crystals etc. In this talk, I will discuss how this principle is useful in solving practical problems. It is illustrated by the examples for sliding droplets on an inclined surface, capillary rising between a flexible film and a solid wall, and die coating problem. An explicit time evolution equation is obtained which could be numerically solved. The results that predict the dynamical transition are consistent with the experiments. These examples demonstrates the potentiality of the present method to wider classes of problems which involve contact
line moving, surface tension gradients and evaporation. This is a joint work with Xianmin Xu and Masao Doi.
联系人：王何宇（wangheyu@zju.edu.cn）
欢迎教师、研究生、本科生参加！
Date: 2018-04-23
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