Efficient Numerical Algorithms for Advanced Material Systems: Ferrofluids
数学专题报告
报告题目(Title)：Efficient Numerical Algorithms for Advanced Material Systems: Ferrofluids
报告人(Speaker)：Prof. Xiaofeng Yang（南卡罗来纳大学）
地点(Place)：后主楼1124
时间(Time)：2026年6月5日（周五）11:00-12:00
邀请人(Inviter)：蔡勇勇
报告摘要
Ferrofluids, also known as magnetic fluids, are colloidal solutions consisting of ferromagnetic nanoparticles suspended in a dispersing liquid, typically an organic solvent or water. What makes ferrofluids particularly intriguing is their unique ability to combine the hydrodynamic behavior of Newtonian liquids with the magnetic properties of super-paramagnets. This remarkable feature allows ferrofluids to be precisely controlled by the application of an external magnetic field. Thanks to their distinctive properties — including high magnetic saturation and zero remanence — ferrofluids have found valuable applications in systems requiring precise control. These include optics, drug delivery, and electronic devices, among others. In this talk, we will introduce several representative ferrofluid models, such as the Rosensweig model and the Shliomis model, along with their respective coupling with phase-field models to describe the benchmark behavior of two-phase ferrofluids. We will also present efficient numerical algorithms designed to solve these highly coupled and nonlinear systems, with a particular focus on the development of a fully decoupled structure that simplifies the discretization process. Finally, we will showcase some intriguing numerical simulations that highlight the complex yet fascinating dynamics of ferrofluids, demonstrating the effectiveness and practicality of the proposed algorithms.
主讲人简介
Xiaofeng Yang，美国南卡罗来纳大学教授。1998年本科毕业于中国科学技术大学数学系，2007年博士毕业于美国普渡大学数学系，师从著名计算数学家沈捷教授。2007-2009年于北卡罗来纳大学教堂山分校做博士后，2009起任职于南卡罗来纳大学历任助理教授、副教授、教授。主要研究计算与应用数学、数学建模、数值分析、科学计算等。在计算与应用数学顶级杂志SIAM Journal on Scientific Computing、SIAM Journal on Numerical Analysis、Journal of Computational Physics、Computer Methods in Applied Mechanics and Engineering等发表学术论文二百余篇。文章被引1万1千余次，H-指数60。主持多项美国国家科学基金项目。连续六年被斯坦福大学评选为全球前 2% 科学家。
